READ-ONLY - This is an older file format. To m... g. What is the maximum profit? h. How many ski pants and ski jackets have to be made to maximize profit? 2. The automotive plant in Rockaway makes the Topaz and the Mustang. The plant has a maximum production capacity of 1200 cars per week. During the spring, a dealer orders up to 600 Topaz cars and 800 Mustangs each week. If the profit on a Topaz is $500 and on a Mustang it is $800. a. Let x = y = Since you cannot have negative cars, write two inequalities to represent the situation. b. Since the plant has a capacity of 1200 cars, write an inequality to represent the situation. c. Since the dealer orders up to 600 Topaz and 800 Mustangs, write two inequalities to represent the situation. d. Write an equation for the profit. e. Graph the constraints. f. Use the corner points to find maximum profit. g. How many types of each car are needed to maximize the profit? h. What is the maximum profit? < Linear Programming Word Problems cont. 3. A farmer has a field of 70 acres in which he plants potatoes and corn. The seed for potatoes costs $20/acre, the seed for corn costs $60/acre and the farmer has set aside $3000 to spend on seed. The profit per acre of potatoes is $150 and the profit for corn is $50 an acre.
READ-ONLY - This is an older file format. To m... g. What is the maximum profit? h. How many ski pants and ski jackets have to be made to maximize profit? 2. The automotive plant in Rockaway makes the Topaz and the Mustang. The plant has a maximum production capacity of 1200 cars per week. During the spring, a dealer orders up to 600 Topaz cars and 800 Mustangs each week. If the profit on a Topaz is $500 and on a Mustang it is $800. a. Let x = y = Since you cannot have negative cars, write two inequalities to represent the situation. b. Since the plant has a capacity of 1200 cars, write an inequality to represent the situation. c. Since the dealer orders up to 600 Topaz and 800 Mustangs, write two inequalities to represent the situation. d. Write an equation for the profit. e. Graph the constraints. f. Use the corner points to find maximum profit. g. How many types of each car are needed to maximize the profit? h. What is the maximum profit? < Linear Programming Word Problems cont. 3. A farmer has a field of 70 acres in which he plants potatoes and corn. The seed for potatoes costs $20/acre, the seed for corn costs $60/acre and the farmer has set aside $3000 to spend on seed. The profit per acre of potatoes is $150 and the profit for corn is $50 an acre.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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g. What is the maximum profit?
h. How many ski pants and ski jackets have to be made to maximize
profit?
2. The automotive plant in Rockaway makes the Topaz and the
Mustang. The plant has a maximum production capacity of 1200 cars
per week. During the spring, a dealer orders up to 600 Topaz cars and
800 Mustangs each week. If the profit on a Topaz is $500 and on a
Mustang it is $800.
a. Let x =
y =
Since you cannot have negative cars, write two inequalities to
represent the situation.
b. Since the plant has a capacity of 1200 cars, write an inequality to
represent the situation.
c. Since the dealer orders up to 600 Topaz and 800 Mustangs, write
two inequalities to represent the situation.
d. Write an equation for the profit.
e. Graph the constraints.
f. Use the corner points to find maximum profit.
g. How many types of each car are needed to maximize the profit?
h. What is the maximum profit?
Linear Programming Word Problems cont.
3. A farmer has a field of 70 acres in which he plants potatoes and
corn. The seed for potatoes costs $20/acre, the seed for corn costs
$60/acre and the farmer has set aside $3000 to spend on seed. The
profit per acre of potatoes is $150 and the profit for corn is $50 an acre.
Find
former
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