(b) The result f ro does dA/dr represent geometrically? (c) U se the difference
ID: 2895560 • Letter: #
Question
(b) The result f ro does dA/dr represent geometrically? (c) U se the difference quotient to explain the observa- tion you made in part (b). 58. Suppose W is proportional to r3. The derivative dW/dr , 59. Show that for any power function f(x) = xn, we have 60. The cost to produce q items is C(q) = 1000 + 2q2 dol- is proportional to what power of r? lars. Find the marginal cost of producing the 25th item Interpret your answer in terms of costs. 61 The demand curve for a product is given by q=300-3p, where p is the price of the product and q is the quantity that consumers buy at this price. (a) Write the revenue as a function, R(p), of price (b) Find R'(10) and interpret your answer in terms ofExplanation / Answer
60)
Sol:
Given C(q) =1000 +2q^2
The cost at q = 25 is s C(25) = 1000 + 2 * 25^2 = 2250 dollars
he marginal cost is the derivative of the cost, C'(q) = 4q , so at q = 25, C'(25)= 4*25 = 100 dollars per unit.
Therefore, it costs $2250 to make 25 units of this product, and at that level of production costs are increasing at a rate of $100 per unit.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.