Question #213692

Suppose a company is producing q(1) phones and q(2) computers. The cost function of the company is 1000+70q(1)+80q(2). Assume that the ratio of production quantities q(1) and q(2) is 1:1. (The production ratio is the same for phones and computers.) Derive the Ray Average Cost. What is the average cost if total production (Q) is 100? 


Expert's answer

The cost function is ;

1000+70q(1)+80q(2)

The ratio of production of computers and phones is 1:1 meaning a 50- 50 percentage.

If the total quantity is produced = 100

q1 = 50

q2= 50


The total cost is therefore;

1000+70(50)+80(50)= 8500

Average cost = 8500100=85\frac{8500}{100} = 85


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