= Shs 16,000,000. (ii) Break Even point in Sales = Fixed Cost = 8,000,000 Contribution Margin Ratio (120,000,000/24,000,000)
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1 QUESTION ONE (a) Marginal costing refers to a method of costing products (goods and services) in which the cost per unit is only the variable costs. Thus, the current production and closing stocks are valued at their variable costs only. The manufacturing fixed overheads are written off or expensed wholly in the period in which they are incurred. Limitations of Marginal costing: These arise from the assumptions of marginal costing which are: Costs can be classified as either fixed or variable. Marginal costing does not therefore consider the mixed costs. Selling price is assumed constant: in reality, the selling price per unit decreases with increased sales due to the effect of quantity discount. Fixed costs are assumed to remain fixed within the relevant range; in reality, stepped costs functions exist i.e. fixed costs rise to a higher level when certain critical production levels are achieved. Constant sales mix: or single product is assumed; in reality, organizations produce many products and also change their product mix when circumstances dictate. Variable costs are assumed to be constant: in reality, this is not true due to decreasing costs per unit due to the effect of large scale production. Kenya Limited: Shs. 000 Sales 24,000 Less: variable 60% x 20 million: (12,000) Contribution: 12,000 Less: fixed 40% x 20 million (8,000) NET PROFIT 4,000 (i) Margin of Safety = Current Sales Break even Sales But Break Even Sales = Fixed Costs = 8,000,000 Contribution margin ratio [12,000,000/24,000,000] = Shs 16,000,000 Margin of Safety = 24,000,000 16,000,000 = Shs 8,000,000 (ii) Break Even point in Sales = Fixed Cost = 8,000,000 Contribution Margin Ratio (120,000,000/24,000,000) (iii) Sales required to earn a profit of Shs 6,000,000. = Shs 16,000,000 = Fixed Costs + Target Profits = (8,000, ,000,000) = Shs 28,000,000 Contribution sales ratio (12million/24 million (iv) Option 1: Fixed costs will rise by Sh 2.5m.
2 2: Variable cost to sales ratio will be 50/95. Profit Statements Option 1 Option 2 Shs 000 Shs 000 Sales 30,000 27,600 Variable costs (50%) (15,000) (14,526) Contribution 15,000 13,074 Fixed costs (10,500) (8,000) NET PROFIT 4,500 5,074 NB: Initial profit was Shs 4,000,000. Advise to Management: decrease sales price by 5% as this will result in the highest net profit. QUESTION TWO Advantages of centralized systems of maintaining stores: Lower stocks on average which lowers the holding costs. Less risk of duplication of costs and efforts. Closer control of stocks and costs is possible at the central site. Higher quality staff may be efficiently employed to specialize in various aspects of store keeping. Reduced paperwork Bulk purchasing reduces the purchase cost due to quantity discounts Stock taking is facilitated It is cost effective to employ expensive and advanced technology. Standardization of procedures is possible and easily enforced. a) Economic Order Quantity (EOQ) refers to the quantity of purchase of stocks or materials that minimizes the holding costs and the ordering costs. It is therefore the optimal ordering amount. It is computed as: EOQ = 2 2DCo Ch Where: D = Annual demand Co = Cost of Ordering per unit Ch = cost of holding one unit of stock per annum. Assumptions behind EOQ: Constant and known holding costs. Constant and known ordering costs. Annual demand and the rate of demand per given period of time is know. Know and constant purchase price per unit. Instantaneous replenishment of stocks i.e. a whole batch is delivered to stores at once. c) Material Y-20 Re order level = Maximum consumption x Maximum Re-order period =1,200 X 24 = 28,800 UNITS
3 Minimum Stock Level = Re-order level [Normal consumption x Normal R-order period.] = 28,800 [ 900 x ( )] = 12,600 units 2 Maximum stock level = Re-order Level [ Minimum x minimum ] + Re-order Consumption Re-order period Quantity QUESTION THREE (a) = 28,800 [800 x 12] + 32,000 = 51,200 units. (i) (ii) (iii) Normal Loss: This is a process loss that is inherent in the process and is therefore expected to occur. For example, in boiling, we would expect evaporation to occur. The cost of normal loss is absorbed as a cost of production. Abnormal Loss: Is a process loss that is above the expected level of loss i.e. Actual Loss Normal Loss. It occurs due to such factors as carelessness, breakdown of machines etc. Abnormal losses are valued just like good production. Joint products: These are products that are processed together but each has a high saleable value to merit recognition as a main product. To produce the two products, the inputs have to be processed together and the products are separated during later stages of process. Timau Ltd Production Statement: June 2000 Inputs Total output Units Material Units Labour Units Overhead Units Baa b/f 5,000 21,000 21,000 21,000 21,000 Mixing Process 20,000 4,000 4,000 1,600 2,400 25,000 25,000 25,000 22,600 23,400 Total Cost Equivalent Units of Production (Shs) (Shs) (Shs) (Shs) Balance b/f (W.I.P) 185, ,000 25,000 60,000 Costs Added 278,400 45, , ,100 Total Costs to account for: 463, , , ,100 Cost per Equivalent Unit: Costs Accounted for as follows: Transfer to finished goods: 412, , , ,859 21,000 x Closing work in Process: 51,109 23,248 10,619 17,242 Total Costs Accounted for: 463, , , ,101
4
5 Refining Process A/C Units Unit Cost Value Units Unit cost Value Bal b/f (W.I.P) 5, ,000 Finished goods 21, ,291 Units added 20,000 Closing W.I.P Costs added Bal c/f 4, ,109 Raw material - 45,300 Labour 125,000 overheads 108,100 25, ,400 25, ,400 QUESTION FOUR a) Overhead Variance = Total Budgeted overheads Total Actual Overheads = (88, ,000) (90, ,000) =Shs 143,000 Shs 148,000 = Shs 5,000A b) Fixed Production Overhead Variance = Actual Fixed Overheads Standard Fixed Overheads = Shs 90,000 (2,700 x [88,000/2,750]) = Shs 90,000 86,400 = Shs 3,600(A) c) Variable Production Overhead Variance = Actual Variable Overheads Standard Variable Overheads = 58,000 [2,700 x (55,000/2,750)] = 58,000 54,000 = Shs 4,000(A) d) Fixed Production Overhead Expenditure Variance =90,000 88,000 = Shs 2,000(A) e) Fixed Production Overhead Volume Variance = (Budgeted Actual Units) x Fixed Overhead Absorption Rate per unit =(2,750 2,700) 32 = Shs 1,600(A) f) fixed Production Overhead Efficiency or Productivity Variance = (Actual Hours Standard Hours) x F.O.A.R per hour = (21,500 21,600) x 88,000/22,000 = 100(4) = Shs 400F g) Capacity Variance Also called Fixed Overhead Capacity Variance = (Budgeted Hours Actual Hours) F.O.A.R Per hour = (22,000 21,500) 4 = Shs 2,000(A)
6 QUESTION FIVE (a) A cash budget is a quantitative expression of the cashflows (inflows and outflow) of a given business entity for a defined period of time. It is used as a budgetary control measure to basically ensure that the firm s cash requirements are met in a timely manner and the firm s cash flow is healthy. Importance of a cash budget: To reveal in advance point of cash shortages and surplus, so that cash sources and investments can arranged in advance. be To ensure the cashflow of a firm is healthy, (there are no shortages). To allow management to consider the ways in which surpluses can be put into in advance. To enable management formulate organizational policy e.g. credit policies when purchasing inputs, policy (when to pay wages and salaries and in what amounts etc) payroll Cash Budget for the 2 nd Quarter of Year 2001 Cash Inflows April May June Shs Shs Shs Cash from debtors (wk 1) 402, , ,820 Debentures issued - 125,000 - Total cash inflow (A) 402, , ,820 Cash Outflows Purchases 100, ,000 90,000 Purchase of machine - 150,000 - Dividends ,000 Production overheads 40,000 45,000 36,000 Administration overheads 27,000 22,000 25,000 Selling and distribution overheads 18,000 13,000 11,000 Wages (wk 2) 79,000 58,500 60,750 Sales commission 13,200 10,500 10,800 Total cash out flows (B) 277, , ,500 Net cash flow (A B) 125,300 42,995 16,270 Add: opening cash balance 90, , ,295 Closing cash balance 215, , ,565 Workings: Debtors collection April May June Sales in: Shs Shs Shs February 350,000 35, March 440, ,300 44,000 - April 350,000 67, ,875 35,000 May 360,000-69, ,700 June 360, ,120
7 402, , ,820 Wages Payment April May June Month: Wages Shs Shs Shs March 100,000 25, April 72,000 54,000 18,000 - May 54,000-40,500 13,500 June 63, ,250 79,000 58,500 60,750 QUESTION SIX (a) SECTION II In the account classification method, costs are simply distinguished as either fixed or variable, just like they are recorded in the books. The method may not be very objective as it depends a lot on the analysis judgement. In the high-low method (Range Method), the cost figures for the highest and lowest output levels are compared. Their difference is taken to represent the variable costs. When this difference is divided by the difference in units, the variable cost per unit is obtained. This can then be substituted into either the high or low level costs and the fixed costs obtained. The method is reliable and objective, but uses only two sets of data. (i) (ii) (iii) (iv) (v) (vi) (vii) (viii) Direct Costs: These are resources or costs that can be charged to a specific unit of production as they are incurred to produce it e.g. direct labour, direct raw material and direct expenses such as hire of special equipment. Indirect costs: Are costs incurred for the activities of a whole organisation and cannot therefore be identified with a specific unit of production for example, rents, rates, electricity etc. Cost centre: Is any geographical or physical part of an organisation in respect of which costs may be ascertained, allocated and related for purposes of cost control. It could be a department or function. Cost Unit: Refers to a quantitative unit of a product or service in relation to which costs are ascertained. This could b a unit of production (such as a tonne, kilogram) or a process equivalent unit. Joint Products: Refers to two or more products using the same process but separated in the course of processing; each has a sufficiently high saleable value to merit recognition as a main product e.g. milk and butter. By Products: Is incidental output from the material used to manufacture the main products. They have relatively low realizable value when compared to the sale value of the main products e.g. sugar and molasses. Period costs: These are costs which relate to a particular period and are therefore usually expensed in that period. They are also called fixed costs because they do not change with changes in the level of output. They are therefore usually irrelevant for decision-making. Product Costs: Refer to costs incurred to produce output. It is made up of direct materials, direct labour, direct expenses and production overheads. QUESTION SEVEN
8 The Budget Committee formulates the general programme for the preparation of the budget. It performs the following duties: Coordinating the whole budget preparation process. Issuing budget preparation guidelines to the budgeting officers. Providing historical information and forecasts to help the managers in preparing budgets. Helping managers and other budget officers resolve any difficulties they may encounter during the budgetary process. Ensuring that the officers (managers) prepare their budgets in time. Suggesting budget reviews after critical evaluation of draft budgets forwarded to them by the managers. Performing a final evaluation of budgets and approving them. Preparing the budget summaries. Submitting the budgets to the top managers. Key factor also called the Critical Success Factor (CSF) or the Critical Constrain Factor (CCF) refers to the main factor that will have to be considered and incorporated into the budges to ensure that the prepared budgets are reasonable and executable. Key factor in most organisations is the demand for the units or service produced; once estimated, the other budgets can be prepared from its estimated budget. (c) Five key factors that affect the budgeting process: (i) Demand: the annual demand or any relevant period s demand must be estimated first before the purchases, production and expenses budgets can be prepared. (ii) Plant capacity: Is a critical factor especially in small firms in high growth markets. They must utilize their plant capacity in such a way as to maximize profits. (iii) Labour: Highly skilled labour is a key factor to consider especially in the developing countries where such labour may not be readily available or is very expensive. (iv) Capital: This is the main key factor in capital budgeting. The projects that will utilize the cash to generate the highest level of profits are taken first, ceteris paribus. (v) Raw material: This is a key factor especially if the materials supply fluctuates over time. Some materials are also very expensive. (vi) Machine hours: These are a constraint in capital intensive firms because the machine capacity may be lower than the capacity required to meet the market demand. The available capacity will have to be utilized in such a way that profits are maximized.
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