Question
In: Math
Kane Manufacturing has a division that produces two models of fireplace grates, x units of model...
Kane Manufacturing has a division that produces two models of fireplace grates, x units of model A and y units of model B. To produce each model A grate requires 3 lb of cast iron and 6 min of labor. To produce each model B grate requires 4 lb of cast iron and 3 min of labor. The profit for each model A grate is $2.00, and the profit for each model B grate is $3.00. Also, 1000 lb of cast iron and 20 labor-hours are available for the production of fireplace grates per day. Because of a backlog of orders for model A grates, Kane's manager had decided to produce at least 150 of these grates a day. Operating under this additional constraint, how many grates of each model should Kane produce to maximize profit?
Solutions
Expert Solution
Given, Kane Manufacturing produces two models of fireplace grates, x units of model A and y units of model B.
By the given conditions, the problem becomes,
Maximize z = 2x+3y (total cost)
subject to 3x+4y 
1000
6x+3y 1200
x+y 
150
x,y 0
Kane should produce 0 units of model A and 250 units of model B to maximize profit.
milcah answered 1 year agoRelated Solutions
Kane Manufacturing has a division that produces two models of hibachis, model A and model B....
Kane Manufacturing has a division that produces two models of
hibachis, model A and model B. To produce each model A hibachi
requires 6 lb of cast iron and 12 min of labor. To produce each
model B hibachi requires 7 lb of cast iron and 6 min of labor. The
profit for each model A hibachi is $5, and the profit for each
model B hibachi is $4.50. If 2200 lb of cast iron and 40
labor-hours are available...
Kane Manufacturing has a division that produces two models of hibachis, model A and model B....
Kane Manufacturing has a division that produces two models of
hibachis, model A
and model B.
To produce each model A
hibachi requires 3 lb
of cast iron and 6 min
of labor. To produce each model B
hibachi requires 4 lb
of cast iron and 3 min
of labor. The profit for each model A
hibachi is $5,
and the profit for each model B
hibachi is $4.50.
If 1000 lb
of cast iron and 20 labor-hours
are available...
Kane Manufacturing has a division that produces two models of hibachis, model A and model B....
Kane Manufacturing has a division that produces two models of
hibachis, model A and model B. To produce each model A hibachi
requires 3 lb of cast iron and 6 min of labor. To produce each
model B hibachi requires 4 lb of cast iron and 3 min of labor. The
profit for each model A hibachi is $3, and the profit for each
model B hibachi is $2.50. If 1000 lb of cast iron and 20
labor-hours are available...
A manufacturing company produces two models of an HDTV per week, x units of model A...
A manufacturing company produces two models of an HDTV per week,
x units of model A and y units of model B at a cost (in dollars)
of
f (x, y) =(8x^2+8y^2)/4 .
If it is necessary (because of shipping considerations) that4x +
5y = 20 ,
how many of each type of set should be manufactured peer week to
minimize cost? What is the minimum cost?
Golding Manufacturing, a division of Farnsworth Sporting, Inc., produces two different models of bows and eight...
Golding Manufacturing, a division of Farnsworth Sporting, Inc.,
produces two different models of bows and eight models of knives.
The bow-manufacturing process involves the production of two major
subassemblies: the limbs and the handle. The limbs pass through
four sequential processes before reaching final assembly: lay-up,
molding, fabricating, and finishing. In the Lay-Up Department,
limbs are created by laminating layers of wood. In Molding, the
limbs are heat treated, under pressure, to form a strong resilient
limb. In the Fabricating...
DC Inc. has two production divisions. Division A produces Component X, which is used by Division...
DC Inc. has two production divisions. Division A produces
Component X, which is used by Division B. To Division A, the cost
of producing one unit of X consists of unit direct material cost of
$100, unit direct labor cost of $130, unit variable overhead of
$125, and unit fixed overhead of $48 at the current production
volume. The current market price of X is $500 per unit. The company
is now trying to determine the transfer price of X....
DC Inc. has two production divisions. Division A produces Component X, which is used by Division...
DC Inc. has two production divisions. Division A produces
Component X, which is used by Division B. To Division A, the cost
of producing one unit of X consists of unit direct material cost of
$100, unit direct labor cost of $130, unit variable overhead of
$125, and unit fixed overhead of $48 at the current production
volume. The current market price of X is $500 per unit. The company
is now trying to determine the transfer price of X....
DC Inc. has two production divisions. Division A produces Component X, which is used by Division...
DC Inc. has two production divisions. Division A produces
Component X, which is used by Division B. To Division A, the cost
of producing one unit of X consists of unit direct material cost of
$100, unit direct labor cost of $130, unit variable overhead of
$125, and unit fixed overhead of $48 at the current production
volume. The current market price of X is $500 per unit. The company
is now trying to determine the transfer price of X....
A manufacturing company has two divisions: Motor and Pump. The Motor Division produces an intermediate good,...
A manufacturing company has two divisions: Motor and Pump. The
Motor Division produces an intermediate good, which is a motor that
can be used as an input for the Pump Division. The Motor Division
also sells the motors in the open market. The Pump Division
assembles the parts together to make water pumps which are sold to
the consumers. The Pump Division needs an average of 10,000 motors
every year. A transfer price based on the variable cost is
mandated....
Division X has asked Division K of the same company to supply it with 5,610 units...
Division X has asked Division K of the same company to supply it
with 5,610 units of part L433 this year to use in one of its
products. Division X has received a bid from an outside supplier
for the parts at a price of $29.50 per unit. Division K has the
capacity to produce 33,500 units of part L433 per year. Division K
expects to sell 29,200 units of part L433 to outside customers this
year at a price...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- You are tasked with assessing the health department’s intervention program in preventing recurrence of acute alcohol...
- Compare the MOSFET, JFET , and BJT and identify the reasons these devices behave differently. What...
- How would you use SAS Enterprise Miner to create a neural network model of your example?
- Explain the use of neural networking modeling in predictive analytics.
- Current Market Mix of Netflix, as detail as possible, please.
- This is all one question, thank you so much in advance! You must evaluate a proposal...
- X Company is considering the purchase of a new processor that costs $200,000. Shipping and setup...
ADVERTISEMENT