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A company manufactures and sells a: widgets per week. The weekly price-demand function is: p(m) = 23 2:. :1. Find the marginal revenue mction. R'(m) = :] b. Use marginal revenue to estimate the additional revenue earned by producing 9 widgets instead of 8 widgets. "6:1- Acme Office Supplies manufactures file cabinets. The cost (in dollars) of producing a file cabinets is given by: C(x) = 1020 + 50x - 22 a. Find the exact additional cost of producing 10 file cabinets instead of 9. Preview b. Find the marginal cost function. C' (x) = Preview c. Use the marginal cost function approximate the additional cost of producing 10 file cabinets instead of 9. SS PreviewThe cost function for the production of microwaves is given as C(x) = 88, 000 + 40x, where x is the number of microwaves produced and C(a) is the total cost (in dollars) of producing x units. Find the marginal cost as a function of x. C' (x) = Preview TIP Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the questionThe total prot (in dollars) from the production and sales of a: espresso machines is 13(3) 2 50:: 0.05:1? 230 a. How many espresso machines must be produced and sold to have a marginal prot of 30 dollars per unit: :1 machines Preview b. Find the marginal prot at a productionfsales level of 350 machines: :] dollars per espresso machine c. Use the prot at 350 machines, which is $11095, and the marginal prot at 350 machines that you computed above to estimate the prot at an outpusales level of 351. e:- The price-demand function for the sale of yo-yos is: p = 4 - 0.02x where p is the price of a yo-yo in dollars, and a is the demand for yo-yos at a price of p dollars. a. R' (290) = Preview b. What are the correct units for R' (290 V Select an answer dollars per yo-yo Get Help: yo-yos per dollarThe price-demand and cost functions for the production of microwaves are given as p = 215 80 and C(a) = 80000 + 50x 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) Preview b. Evaluate the marginal profit function at a = 1500 microwaves rounded to the nearest cent. P' (1500) = $ per microwave PreviewAnselPix is an online company that makes and sells photographs of National Parks. The prot from selling m prints of a scene in Arches National Park is P(a:) dollars. AnselPix believes that the prot from making and selling 150 photos will be 22, 000 dollars. Assume that the marginal prot is P'(150) = 150. As AnselPix's nancial advisor, would you recommend that they sell more photos or fewer photos? Why? Fill in the rst blank with either the word "more" or "fewer" and the second with the word "increase" or "decrease". I would recommend that AnselPix sell photos because the company will prot by approximately $:] if they decide to make and sell the 151" photo instead of 150 photos. Get Help: A graph of the profit function P(x) and its tangent line at x = 95 are shown in the figure below: P(x) 1020 1015 1010 1005 1000 X 90 91 92 93 94 95 96 97 98 99 100 a. What is the marginal profit for a production/sales level of x = 95 items? $ per unit b. Use the marginal profit to estimate the profit from a production/sales level of 97 photos. $ c. Is the actual profit more or less than the estimated profit? |Select an answer V Get Help