Question
In: Math
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
milcah answered 2 years agoRelated 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...
The SCO Company sells desks that have a demand of 4 units per month and cost...
The SCO Company sells desks that have a demand of 4 units per
month and cost $25 each, the annual carrying charge is 30 percent
of the product value, and it costs $15 to place an order. The
company is considering installing either a Q or a P system for
inventory management. The standard deviation of demand has been 4
units per month, and the replenishment lead time is two months, a
90 percent service level is desired. For Parts...
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
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$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
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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
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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...
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