7. The cost for the production of x tubs of ice cream is modelled by the function C(x) =0.0001x +1.75x +4100. The revenue for the sale of x tubs of ice cream is modelled by the function R(x) = 6.50x. a) Determine the marginal cost function and the marginal cost for the production of 4000 tubs of ice cream. b) Determine the marginal revenue function and the marginal revenue for the sale of 4000 tubs of ice cream. c) Determine the marginal profit function and the marginal profit for the sale of 4000 tubs of ice cream.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The cost for the production of x tubs of ice cream is modelled by
the function C(x) =0.0001x +1.75x +4100. The revenue for the sale
7.
of x tubs of ice cream is modelled by the function R(x) = 6.50x.
a) Determine the marginal cost function and the marginal cost for the
production of 4000 tubs of ice cream.
b) Determine the marginal revenue function and the marginal
revenue for the sale of 4000 tubs of ice cream.
c) Determine the marginal profit function and the marginal profit for
the sale of 4000 tubs of ice cream.
d) What is the price for the sale of a tub of ice cream? Explain.
Transcribed Image Text:The cost for the production of x tubs of ice cream is modelled by the function C(x) =0.0001x +1.75x +4100. The revenue for the sale 7. of x tubs of ice cream is modelled by the function R(x) = 6.50x. a) Determine the marginal cost function and the marginal cost for the production of 4000 tubs of ice cream. b) Determine the marginal revenue function and the marginal revenue for the sale of 4000 tubs of ice cream. c) Determine the marginal profit function and the marginal profit for the sale of 4000 tubs of ice cream. d) What is the price for the sale of a tub of ice cream? Explain.
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