Question

A company makes two types of magazine racks, metal and plastic. The metal magazine racks sell for $68 and the plastic magazine racks for $24. The total cost function is C(x,y)=0.5x^2+0.3y^2−54x−57y+2670 dollars, where x is the number of metal magazine racks and y is the number of plastic magazine racks. How many magazine racks of each type should be produced and sold to maximize the profit?

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A company produces two types of solar panels per year: x
thousand of type A and y thousand of type B. The revenue and cost
equations, in millions of dollars, for the year are given as
follows: R(x,y)=6x+4y C(x,y)=x^2-4xy+9y^2+28x-130y-2 Determine how
many of each type of solar panel should be produced per year to
maximize profit. The company will achieve a maximum profit by
selling _ solar panels of type A, and _ solar panels of type B The
maximum...

- A company
produces two types of solar panels per
year: x thousand
of type A and y thousand of type B. The revenue and cost
equations, in millions
of
dollars, for the year
are given as follows.
R(x,y)=6x+7y
c(x,y)=
x^2-3xy+9y^2+16x-89y-7
determine
how many of each of solar panelscshould be produced per year to
maximize profits
the company
will achive a maximum profit by selling ____ solar pAnels of type A
and ____ for type be
maximum
profit is $____...

A company produces two types of solar panels per year: x
thousand of type A and y thousand of type B. The revenue and cost
equations, in millions of dollars, for the year are given as
follows.
R(x,y)=6x+8y
C(x,y)= x^2- 3xy+ 6y^2 +15x - 43y - 2
Determine how many of each type of solar panel should be
produced per year to maximize profit.
Part 1-The company will achieve a maximum profit by selling ____
solar panels of type A...

The owner of a mid-size company advertises on the radio and in a
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thousands of dollars) is the amount spent on radio advertising and
y (in thousands of dollars) is the amount spent on newspaper
advertising. How much should he spend on each to maximize the
number of units sold?

Let's say an online retailer sells tablets. The demand (price)
function is given by p(x)=500−18x, where x is the number of tablets
produced sold and p(x) is the price per week, while the cost, in
dollars per week to produce x tablets is given by C(x)=35000+120x.
Based on this, answer the following questions:
1. Determine the Revenue Function.
2. Determine the number of tablets the retailer would have to
sell to maximize revenue. What is the maximum revenue?
3. Determine...

A furniture store sells two styles of a chair, reclining and
non-reclining. During the month of March, the management expects to
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P(x,y)=−(1/3)x^2−(5/2)y^2−(1/3)xy+35x+55y−900, where x is the
number of reclining chairs sold and y is the number of
non-reclining chairs sold. How many of each type should be sold to
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A furniture store sells two styles of a chair, reclining and
non-reclining. During the month of March, the management expects to
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P(x,y)=−(1/3)x^2−(5/2)y^2−(1/3)xy+35x+55y−900, where x is the
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P(x)= -1000 + 30x2 - x3,
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profit?

A box is constructed out of two different types of metal. The
metal for the top and bottom, which are both square, costs $2 per
square foot and the metal for the sides costs $6 per square foot.
Find the dimensions that minimize cost if the box has a volume of
15 cubic feet. Length of base x= ___Height of side
z=___
The manager of a large apartment complex knows from experience
that 80 units will be occupied if the...

A company has determined that its weekly total cost and total
revenue (in dollars) for a product can be modeled by C(x) = 4000 +
30x R(x) = 300x -0.001x^2, where x is the number of items produced
and sold. If the company can produce a maximum of 100,000 items per
week, what production level will maximize profit?

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