Question Completion
A manufacturer of mountain bikes has the following marginal cost function:
C(q)=600/(0.7q+5)
Answer:
a. The total cost = $3,492.40
b. The profit on the first 30 bikes is:
= $2,507.60
Explanation:
a) Data and Calculations:
Fixed cost for producing the bicycles = $2,800
Number of bicycles produced = 30
Selling price per bike = $200
Marginal cost (C(q)) =600/(0.7q+5)
= 600/ (0.7*30 + 5)
= 600/ (21 + 5)
= 600/26
= $23.08
Total cost = Fixed cost + (C(q))
= $2,800 + $23.08 * 30
= $2,800 + $692.40
= $3,492.40
Profit:
Sales revenue $6,000 ($200 * 30)
Less Total cost 3,492.40
Profit = $2,507.60