4) A company manufactures and sells x lime scooters sets per month. The monthly cost and...

4) A company manufactures and sells x lime scooters sets per month. The monthly cost and price-demand equations are

Cx=16,000+75x

p(x)=200-x/30 0≤x≤3,000

a) Find the maximum monthly revenue.

b) Find the maximum profit, the production level that will realize the maximum profit, and the price the company should charge for each scooter.

c) If the local government decides to subsidize the company $5 for each scooter it produces, how many scooters should the company manufacture each month to maximize its profit under this revised scenario? What is the maximum profit? What should the company charge for each scooter?

Solutions

Expert Solution

milcah answered 1 year ago

Next > < Previous

Related Solutions

A company manufactures and sells x television sets per month. The monthly cost equation is?(?)=??,???+???and the...

A company manufactures and sells x television sets per month. The monthly cost equation is?(?)=??,???+???and the monthly demand−price equation is ?=???−???Use thisinformation to answerquestions below. 1.a.What is the maximum monthly revenue? b.What price should the company charge for each television set? 2.a.How many television sets should be produced to realize the maximum monthly profit? b.What is the maximum monthly profit

A company manufactures and sells x television sets per month. The monthly cost and price-demand equations...

A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x)equals72 comma 000 plus 70 x and p left parenthesis x right parenthesis equals 300 minus StartFraction x Over 20 EndFraction , 0less than or equalsxless than or equals6000. (A) Find the maximum revenue. (B) Find the maximum profit, the production level that will realize the maximum profit, and the price the company should charge for each television set. (C) If the government...

A company manufactures and sells x television sets per month. The monthly cost and price-demand equations...

A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x)=75000+50x and p(x)=300-x/30, 0 ≤ x ≤ 9000 (A) Find the maximum revenue. (B) Find the maximum profit, the production level that will realize the maximum profit, and the price the company should charge for each television set. (C) If the government decides to tax the company $5 for each set it produces, how many sets should the company manufacture each month to...

A company manufactures and sells x television sets per month. The monthly cost and price-demand equations...

A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x)=75,000+40x and p(x)= 300-x/30 , 0 less than or equal to x less than or equal to 9000. (A) Find the maximum revenue. (B) Find the maximum profit, the production level that will realize the maximum profit, and the price the company should charge for each television set. (C) If the government decides to tax the company $6 for each set...

A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations are...

A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations are given below. p=400-.05x and C(x)=20,000 + 135x A) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? What is the maximum weekly revenue? The company should produce ? phones each week at a price of $ ?. (Round to the nearest cent as needed.) The maximum weekly revenue is $ ? (Round...

A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations are...

A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations are given below. p = 500-0.5x and C(x)=15,000+135x What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? What is the maximum weekly revenue? (B) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly profit? What is the maximum weekly profit?

3) A company manufactures and sells x cellphones per week. The weekly cost and price-demand equations...

3) A company manufactures and sells x cellphones per week. The weekly cost and price-demand equations are Cx=5,000+84x p(x)=300-0.2x a) What price should the company charge for the phones, and how many phones should be produced to maximize weekly revenue? What is the maximum revenue? b) What is the maximum weekly profit? How much should the company charge for the phones, and how many phones should be produced to realize the maximum weekly profit?

Outdoor Life manufactures snowboards. The cost of making 2,000 sets of bindings last month was as...

Outdoor Life manufactures snowboards. The cost of making 2,000 sets of bindings last month was as follows: Direct materials $18,000 Direct Labor 3,000 Variable overhead 3,000 Fixed Overhead 8,000 Total Manufacturing Cost $32,000 Cost per set $16 An outside supplier has offered to supply outdoor Life with the bindings for $14 each including shipping costs to its facility. If Outdoor Life accepts the offer it will be able to avoid $3,000 of fixed overhead. In addition if the offer is...

An office supply company manufactures and sells X permanent markers per year at a price of...

An office supply company manufactures and sells X permanent markers per year at a price of P €/unit. The Price/Demand equation for the markers is: ? = 5 − 0.001? 1. Write the Revenues function (10%) 2. What level of production and what price should the company charge for the markers to maximize revenues? The total cost of manufacturing is: ?(?) = 3000 + 2? Write the Company’s Profit function What level of production and what price should the company charge for...

Wheels Inc. manufactures kick scooters. The company offers a one-year warranty on all scooters. During 2019,...

Wheels Inc. manufactures kick scooters. The company offers a one-year warranty on all scooters. During 2019, the company recorded net sales of $2,800 million. Historically, about 3% of all sales are returned under warranty and the cost of repairing and or replacing goods under warranty is about 30% of retail value. Assume that at the start of the year Wheels’ balance sheet included an accrued warranty liability of $15.4 million and at the end of the year, the accrued warranty...

Subjects