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

a. Find the exact additional profit for manufacturing and selling10 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 givenby:

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

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

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

4. The cost function for the production of microwaves is givenas

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

where x is the number of microwaves produced and C(x) is thetotal 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 salesof xx espresso machines is

P(x)=40x−0.02x^2−260

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

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

c. Use the profit at 350 machines, which is $11290, and themarginal profit at 350 machines that you computed above to estimatethe 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 demandfor 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 ofmicrowaves are given as

p=250−x80

and C(x)=16000+30x

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

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

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

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

Fill in the first blank with either the word \"more\" or \"fewer\" andthe 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 answerdecrease/increase?) profit by approximately ($?) if they decide tomake and sell the 151st photo instead of 150 photos.

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

R(x)=x(2100−30x)

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