Question

2.  The profit function from manufacturing and selling xx BabCo Lounge Chairs is:
P(x)=30x−140−0.2x^2

a. Find the exact additional profit for manufacturing and selling 10 chairs instead of 9 chairs.

b. Find the marginal profit at x=9  

= per lounge chair.

3.  Acme Office Supplies manufactures file cabinets. The cost (in dollars) of producing x file cabinets is given by:

C(x)=1025+60x−x^2
a. Find the exact additional cost of producing 7 file cabinets instead of 6.

b. Find the marginal cost function. C'(x)=

c. Use the marginal cost function approximate the additional cost of producing 7 file cabinets instead of 6.

4. The cost function for the production of microwaves is given as

C(x)=50,000+40xC(x)=50,000+4

where x is the number of microwaves produced and C(x) is the total cost (in dollars) of producing x units.

Find the marginal cost as a function of x. C'(x)=

5. The total profit (in dollars) from the production and sales of xx espresso machines is

P(x)=40x−0.02x^2−260

a. How many espresso machines must be produced and sold to have a marginal profit of 32 dollars per unit:
machines

b. Find the marginal profit at a production/sales level of 350 machines:
dollars per espresso machine

c. Use the profit at 350 machines, which is $11290, and the marginal profit at 350 machines that you computed above to estimate the profit at an output/sales level of 351.

=$

6. The price-demand function for the sale of yo-yos is:

p=6−0.02x

where p is the price of a yo-yo in dollars, and x is the demand for yo-yos at a price of p dollars.
a. R'(290)=

b. What are the correct units for R'(290)?

7. The price-demand and cost functions for the production of microwaves are given as

p=250−x80

and C(x)=16000+30x

where x is the number of microwaves that can be sold at a price of p dollars per unit and C(x) is the total cost (in dollars) of producing x units

a. Find the profit function in terms of x.
P(x)=

b. Evaluate the marginal profit function at x=1500 microwaves rounded to the nearest cent.
P'(1500)=    per microwave

8.  AnselPix is an online company that makes and sells photographs of National Parks. The profit from selling xx prints of a scene in Arches National Park is P(x) dollars. AnselPix believes that the profit from making and selling 150photos will be 22,000 dollars. Assume that the marginal profit is P'(150)=−150. As AnselPix's financial advisor, would you recommend that they sell more photos or fewer photos? Why?

Fill in the first blank with either the word "more" or "fewer" and the second with the word "increase" or "decrease".

I would recommend that AnselPix sell (Select an answer, more/ fewer?) photos because the company will (Select an answer decrease/increase?) profit by approximately ($?) if they decide to make and sell the 151st photo instead of 150 photos.

9. The revenue (in dollars) from producing and selling xx navigation systems is

R(x)=x(2100−30x)

a. Find the marginal revenue function.
R'(x)=

Answer 1

Sve the exact additional cost of producing F file cabinets instead of 6 es 47 dollars Way91 > da (b) The marginal cost funetion is given by: c'(X)=frees +60% - x2) c'(x) = 60-22 - Hence, The marginal cost funefion is : clav N = 60 -2 x Note: a can)= nanalo da