Question

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 and selling____solar panels of type B.

Part 2- The maximum Profit is $_____million

Answer #1

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 manufactures microchips. Use the revenue function R(x)
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(D) Find the value of x (to the nearest thousand chips) that
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A firm produces two commodities, A and B. The inverse demand
functions are:
pA =900−2x−2y, pB =1400−2x−4y
respectively, where the firm produces and sells x units of
commodity A and y units of commodity B. Its costs are given by:
CA =7000+100x+x^2 and CB =10000+6y^2
where A, a and b are positive constants.
(a) Show that the firms total profit is given by:
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and 1/2 hour to paint, and the economy model requires 2 hours to
assemble and 1 hour to paint. The maximum number of assembly hours
available is 24 per day, and the maximum number of painting hours
available is 8 per day. If the profit on the deluxe model is $94
per unit and the profit on the economy model...

The Wellbuilt Company produces two types of wood chippers,
economy and deluxe. The deluxe model requires 3 hours to assemble
and 1 2 hour to paint, and the economy model requires 2 hours to
assemble and 1 hour to paint. The maximum number of assembly hours
available is 24 per day, and the maximum number of painting hours
available is 8 per day. If the profit on the deluxe model is $90
per unit and the profit on the economy...

A company produces x widgets for a cost of C(x) dollars and
sells them for 2280 dollars per widget.
If the cost function is C(x)=6450+760x+0.8x2, find the production
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x = _____widgets
Be sure to apply a test to check that you have found the
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An automobile paint manufacturer produces two types of product,
Paint X of standard quality and
Paint Y of high quality. There are two components required in
making these products: the filler and
the special pigment. Paint X requires 2 units of filler and 3 units
of special pigment for each unit
made, and is sold at a profit RM 1.00 per unit. Paint Y requires 4
units of filler and 2 units of special
pigment for each unit made, and...

A ﬁrm produces two commodities, A and B. The inverse demand
functions are: pA = 900−2x−2y, pB = 1400−2x−4y respectively, where
the ﬁrm produces and sells x units of commodity A and y units of
commodity B. Its costs are given by: CA = 7000 + 100x + x^2 and CB
= 10000 + 6y^2
(a) Show that the ﬁrms total proﬁt is given by: π(x,y) = −3x2
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(b) Assume π(x,y) has a maximum...

Newjet Inc. manufactures two types of printers, an inkjet
printer and a laser printer. The company can make a total of 70
printers per day, and it has 120 labor-hours per day available. It
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make a laser printer. The profits are $40 per inkjet printer and
$60 per laser printer. (Let x equal the number of ink jet
printers. Let y equal the number of laser printers.)
(a)...

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