Question: FunTime has developed a new robotic toy, which it sells to wholesalers for $20 each.
C(q) = 5000+4q+0.001q2
Where C(q) is the cost, in dollars, and q is the quantity produced.
[A] Find p’(1000), the marginal profit when q = 1000
[B] The company produces and sells 1000 units. Use the answer to part (c) to determine whether or not the company should increase productivity slightly.
[C] Find p(q), the profit function
[D] Find p’(q), the marginal profit function