An appliance manufacturer produces two models of microwave ovens: H and W. Both models Require fabrication and assembly work; each H uses four hours of fabrication and two hours of assembly, and each W uses two hours of fabrication and six hours of assembly. There are 600 fabrication hours available this week and 480 hours of assembly. Each H contributes $40 to profits, and each W contributes $30 to profits. What quantities of H and W will maximize profits?

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An appliance manufacturer produces two models of microwave ovens: H and W. Both models Require fabrication and assembly work; each H uses four hours of fabrication and two hours of assembly, and each W uses two hours of fabrication and six hours of assembly. There are 600 fabrication hours available this week and 480 hours of assembly. Each H contributes $40 to profits, and each W contributes $30 to profits. What quantities of H and W will maximize profits?

11:52
ganda
KB/s 58 !וה. lוה
17:29
Quiet time 24%
Operation-Management-1
WEEK 3
ACTIVITY
LINEAR PROGRAMMING
PROBLEM:
1. An appliance manufacturer produces two models of microwave ovens: H and
W Both models require fabrication and assembly work; each H uses four
hours of fabrication and six hours of assembly, while W requires 6 hours in
fabrication and 4 hours in finishing. There are 600 fabrication hours available
this week and 480 hours of assembly. Each H contributes $40 to profits, each
W contributes $30 to profits.
What mix of H and W will maximize profits?
2. A small candy is preparing for the holiday season. The owner must decide
how many bags of deluxe mix and how many bags of standard mix of
Peanut/Raisin Delight to put up. The deluxe mix has 2/3-pound raisins and
1/3-pound peanuts, and the standard mix has ½ pound raisin and ½ pound
peanuts per bag. There are 90-pound peanuts and 60-pound raisins available.
The Peanut cost $.60 per pound and raisins cost $2.55 per pound. The owner
estimates that no more than 110 bags of one type can be sold.
a. If the goal is to maximize profits, how many bags of each
type should be prepared?
b. What is the expected profit?
3. Formulate (but do not solve) a LP model of this problem, which can be used
to determine how many containers of each product to produce tomorrow to
maximize profits. The company makes four juice products using orange,
grapefruit, and pineapple juice.
PRODUCTS
RETAIL PRICE
Orange juice
$ 1. 00
Grapefruit juice
.90
Pineapple
.80
All-in-one
1.10
The all-in-one juice has equal parts of orange, grapefruit, and pineapple juice. Each
product is producing in one quart size. On hand are 400 gallons of orange juice, 300
gallon of grapefruit and 200 gallon of pineapple juice. The cost per gallon is $2 for
orange juice, $1.60 for grapefruit and $1.40 for pineapple juice.
More
Edit
Transcribed Image Text:11:52 ganda KB/s 58 !וה. lוה 17:29 Quiet time 24% Operation-Management-1 WEEK 3 ACTIVITY LINEAR PROGRAMMING PROBLEM: 1. An appliance manufacturer produces two models of microwave ovens: H and W Both models require fabrication and assembly work; each H uses four hours of fabrication and six hours of assembly, while W requires 6 hours in fabrication and 4 hours in finishing. There are 600 fabrication hours available this week and 480 hours of assembly. Each H contributes $40 to profits, each W contributes $30 to profits. What mix of H and W will maximize profits? 2. A small candy is preparing for the holiday season. The owner must decide how many bags of deluxe mix and how many bags of standard mix of Peanut/Raisin Delight to put up. The deluxe mix has 2/3-pound raisins and 1/3-pound peanuts, and the standard mix has ½ pound raisin and ½ pound peanuts per bag. There are 90-pound peanuts and 60-pound raisins available. The Peanut cost $.60 per pound and raisins cost $2.55 per pound. The owner estimates that no more than 110 bags of one type can be sold. a. If the goal is to maximize profits, how many bags of each type should be prepared? b. What is the expected profit? 3. Formulate (but do not solve) a LP model of this problem, which can be used to determine how many containers of each product to produce tomorrow to maximize profits. The company makes four juice products using orange, grapefruit, and pineapple juice. PRODUCTS RETAIL PRICE Orange juice $ 1. 00 Grapefruit juice .90 Pineapple .80 All-in-one 1.10 The all-in-one juice has equal parts of orange, grapefruit, and pineapple juice. Each product is producing in one quart size. On hand are 400 gallons of orange juice, 300 gallon of grapefruit and 200 gallon of pineapple juice. The cost per gallon is $2 for orange juice, $1.60 for grapefruit and $1.40 for pineapple juice. More Edit
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