Question

A company manufactures small refrigerators. The total cost to manufacture 98 refrigerators is $13035. The total costs to manufacture 155 refrigerators is $19875. Assume that total cost, C, is linearly related to the number of refrigerators, x, the company manufactures and includes a fixed cost and a cost per refrigerator. A) Write the cost function, C(x) in terms of x, the number of refrigerators manufactured. Preview B) The total cost to manufacture 172 refrigerators is $ C) The fixed costs are $ D) The cost to produce each additional refrigerator is $

Answer 1

solution we have been given, the total cost, 'c is linearly related to the number of refrigerators, 'x', the company manufactures and includes a feried cost and a cost per refsigerator. So, the required equation is, c = ax+b a = $ cost per sefrigeratos 1 6= L fixed cost ] Now, c=axtb = 13035= ax 98+b scast to manufacture 1 98 refrigerators is $13035] again, 19875 = axiss+b 1 (cast to manufacture Liss refrigerators on Subtracting eqo from @ is $19875) eger, s7 a=6840 > a = 120 & b = 13035-98x120 (using eq 0] ub= 1275 (A) the required equation is, C = 120x + 1275. (B) cost to make 172 refrigerators, put, x=172 in equation 'C' C = 120x172 +1275 = $ 21,915 (C) Fixed costs are a = 120,&b=1275. (D) cost to produce each refrigerator = Q = $ 120 0 0