Question
In: Math
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 maximize its profit? What is the maximum profit? What should the company charge for each set?
Solutions
milcah answered 2 years agoRelated Solutions
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)=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 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
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...
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?
1. a) The demand per week for television sets is 1200 units when the price is...
1.
a) The demand per week for television sets is 1200 units when
the price is $575 each and 800 units when the price is $725 each.
Find the demand equation for the sets, assuming that it is
linear?
b) Suppose a manufacturer of some product will produce 10 units
when the price is SR150 each and 6 units when the price is SR70
each. Find the supply equation, assuming it is linear?
c) In each of the following, sketch...
P22-26 The Shamrock Company manufactures and sells television sets. Its assembly division (AD) buys television screens...
P22-26
The Shamrock Company manufactures and sells television sets. Its
assembly division (AD) buys television screens from the screen
division (SD) and assembles the TV sets. The SD, which is
operating at capacity, incurs an incremental manufacturing cost of
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at a price of $130 per screen, after incurring a variable
marketing and distribution cost of $10 per screen. If the AD
purchases screens from outside suppliers at...
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...
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