5) A company manufactures and sells x e-book readers per month. Themonthly cost and price-demand equations areC(x) = 350x +40,000p= 500-0.025xa) Find the profit functionb) Find the maximum monthly profit. How many readers should thecompany manufacture and how much should charge for each reader tomaximize its profit?

Name: 5) A company manufactures and sells x e-book readers per month. Themo
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: 5) A company manufactures and sells x e-book readers per month. Themonthly cost and price-demand equations areC(x) = 350x +40,000p= 500-0.025xa) Find the profit functionb) Find the maximum monthly profit. How many readers should thecompany manufactu

Given Monthly cost equation Cx=350x+40000Price demand equation p=500-0.025xPart (a) Profit function=px-CxProfit function=500-0.025xx-350x+40000Profit function=500x-0.025x2-350x-40000Profit function=-0.025x2+150x-40000 ......1part bfrom equation 1,-0.025x2+150x-40000=0differentiate with respect to x, we have-0.05x+150=0x=1500.05x=3000Thus from equation 1Maximum monthly profit=-0.02530002+150×3000-40000Maximum monthly profit=185000and 3000 reader should the company manufacture.and Charge for each reader=500-0.025×3000Charge for each reader=425So $425 Charge for each reader.