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It's related to Cost Accounting Course Give a numerical example of cost function and analyze this...

It's related to Cost Accounting Course

Give a numerical example of cost function and analyze this cost function? Discuss how is this cost function used in decision making?

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Give a numerical example of cost function and analyse this cost function? Discuss how is this cost function used in decision making Definition: A cost function is a mathematical formula used to chart how production expenses will change at different output levels. In other words, it estimates the total cost of production given a specific quantity produced. What Does Cost Function Mean:- Management uses this model to run different production scenarios and help predict what thc total cost would bc to producc a product at different levels of output. The cost function equation is expressed as C(x) FC+ V(x), where C equals total production cost, FC is total fixed costs, V is variable cost and x is the number of units. Understanding a firms cost function is helpful in the budgeting process because it helps management understand the cost behaviour of a product. This is vital to anticipate costs that will be incurred in the next operating period at the planned activity level. Also, thi:s allows management to evaluate how efficiently the production process was at the end of the operating period. Example:- The management of Duralex Companies, a manufacturer of toys, has asked for a new cost study to improve next years budget forecasts. They pay rent of S300 a month and they pay an average of $30 a month for electricity. Each toy requires $5 in plastic and $2 in cloth. A. How much t cost them to manufacture 1200 toys annually? B. How much will it cost them to manufacture 1500 toys annually? First thing to do is to determine which costs are fixed and which ones are variable. Remember, fixed costs are incurred whether or not we manufacture, whereas variable costs are incurred per unit of production. That mcans rent and electricity are fixed while plastic and cloth are variable costs. Remember our cost function: C(x)-FC+ V(x) Substitute the amounts. A. At 1200 C(1,200) $3,960*1,200 (S5 $2) C(1,200)- 12,360 Therefore, it would take S11,360 to produce 1,200 toys in a year B. At 1500 C(1,500) $3,960 C(1500)- S14,460 1,500 ($5 +$2) Therefore, it would take S13.460 to produce 1,500 toys in a year *FC (300 +30) * 12 months (remember we are asked at an annual basis). Thus, FC$ 3,960 (Notice that the fixed costs remain unchanged even at varying outputs)

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