Question

#4 & 5, work shown.

A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations are given below. 4) p 400-0.lx and C(x)-25,000+135x Find the weekly revenue function. What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? What is the weekly revenue? a) b) c) Find the weekly profit function. What price should the company charge for the phones, and how many phones should be produced to maximize the weekly profit? What is the weekly profit? d) e) t) A deli sells 960 sandwiches per day at a price of $8 each. A market survey shows that for every $0.1 reduction in price, 20 more sandwiches will be sold. a) How much should the deli charge in order to maximize revenue? b) What is the maximum revenue? c) Use the 2nd derivative test to verify the solution is a maximum. 5)

Answer 1

400 -01 he evenue hunieni C(x)- 5,000 + 133X de the eodh the no "lu twit ous x 12mce demand Rm. χ(400-o.ix) て) esentiat wt Jan digeruntiatuy uverue function Ttw yt 2@dro phones péditeed -to marimize the weekly乍evenue. "Then the ma nimum weekly รevenue is: づ"The prie cna age ter the Phones is : co-. 0-1 (2000) , The produce-le-o at a paie o werly sevenue . The maximum weekiy nevenu mpany shoul phones Jo maimize the

=(1oox-o.ix®)-C25,oro-t. 1 35 χ) P(x)2 x 965 0.2 1325 phones produted t maximize the ey ptt,it Then matimum wty revenue is, (1525), 265 (\325)-25' σοο). 150,562 5 p(x) -o. Maximum p때t ǐss1so,652-5 the prie, charge for the phone is: P-40D00-12( The co 9G7.5 mpary Should produce 5 phomes at a paice maximige the woeky projit The maximum SO, 462.5

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