Question

A furniture store sells two styles of a chair, reclining and non-reclining. During the month of March, the management expects to sell exactly 525 chairs. The monthly profit is given by 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 maximize the profit in March?

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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
sell exactly 525 chairs. The monthly profit is given by
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
maximize the profit in March?

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labor-hours. The profit for each table is $40, and the profit for
each chair is $30. In a certain week, the company has 3200 board
feet of wood available and 520 labor-hours available. How many
tables and chairs should Winston manufacture to maximize its
profit? (Let x...

For a company that produces and sells x number of chairs per
month, the profit function is given by G (x) = -0.02x^2 + 200x -
40,000 and the marginal profit function by G' (x) = -0.04x + 200.
So, we can conclude that G' (8,900) =-156 can be interpreted as
follows:
a. The company has a loss of approximately $ 156 when 8,900
chairs are produced and sold.
b. The company has a loss of approximately $ 156 when...

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Straight chairs 1,260 50
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these two models, x and y, are dependent, that is, if the price of
one increases, the demand for the other increases. A study is made
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in order to maximize the revenue from the products. The result of
the study is shown below. Dx=476-0.54Px+0.22Py
Dy=601+0.12Px-0.54Py
A. construct a model for the total revenue and implement it on...

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FiberTech (FT) and Rockingham Brothers (RB), use slightly different
methods to produce the pellets, so while the pellets are
interchangable, it takes 1.3 times as many FiberTech pellets to
produce a chair as it does Rockingham Brothers pellets.
If the pellets are priced equally, Plastico should...

Let's say an online retailer sells tablets. The demand (price)
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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
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3. Determine...

A confectioner sells two types of nut mixtures. The
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Instructions:
PowerTrain Sports Inc. manufactures and sells two styles of All
Terrain Vehicles (ATVs), the Mountain Monster and Desert Dragon,
from a single manufacturing facility. The manufacturing facility
operates at 100% of capacity. The following per-unit information is
available for the two products:
1
Mountain Monster
Desert Dragon
2
Sales price
$5,300.00
$5,300.00
3
Variable cost of goods sold
3,210.00
3,350.00
4
Manufacturing margin
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$1,950.00
5
Variable selling expenses
1,030.00
1,102.00
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Contribution margin
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$848.00
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Fixed expenses...

Instructions:
PowerTrain Sports Inc. manufactures and sells two styles of All
Terrain Vehicles (ATVs), the Mountain Monster and Desert Dragon,
from a single manufacturing facility. The manufacturing facility
operates at 100% of capacity. The following per-unit information is
available for the two products:
1
Mountain Monster
Desert Dragon
2
Sales price
$5,300.00
$5,300.00
3
Variable cost of goods sold
3,210.00
3,350.00
4
Manufacturing margin
$2,090.00
$1,950.00
5
Variable selling expenses
1,030.00
1,102.00
6
Contribution margin
$1,060.00
$848.00
7
Fixed expenses...

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