EXERCISE: Suppose a company manufactures different electronic components for computers. Component A requires 2 hours of fabrication and 1 hr of assembly; Component B requires 3 hrs of fabrication and 1 hr of assembly; and Component C requires 2 hrs of fabrication and 2 hrs of assembly. The company has up 1,000 labor-hours for fabrication and 800 labor-hours of assembly time, each week. If the profit on each component A,B, and C is $7,$8,$10 respectively, has many of each should be produced to maximize profit?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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EXERCISE:
Suppose a company manufactures different electronic
components for computers. Component A requires 2 hours of
fabrication and 1 hr of assembly; Component B requires 3 hrs of
fabrication and 1 hr of assembly; and Component C requires 2 hrs
of fabrication and 2 hrs of assembly. The company has up 1,000
labor-hours for fabrication and 800 labor-hours of assembly time,
each week. If the profit on each component A,B, and C is
$7,$8,$10 respectively, has many of each should be produced to
maximize profit?
A dog breeder needs at least 6 units per day of nutrient A and at
least 3 units of nutrient B for her beagles, and that the breeder
can choose between to different feeds, feed 1 and feed 2. Each
bag of feed 1 cost $3 and provides 1 unit of nutrient A and 2 units
of nutrient B. Each bag of feed 2 costs $2 and provides 3 units of
nutrient A and 1 unit of nutrient B. How many bags of each type of
feed should be bought to minimize daily cost?
Transcribed Image Text:EXERCISE: Suppose a company manufactures different electronic components for computers. Component A requires 2 hours of fabrication and 1 hr of assembly; Component B requires 3 hrs of fabrication and 1 hr of assembly; and Component C requires 2 hrs of fabrication and 2 hrs of assembly. The company has up 1,000 labor-hours for fabrication and 800 labor-hours of assembly time, each week. If the profit on each component A,B, and C is $7,$8,$10 respectively, has many of each should be produced to maximize profit? A dog breeder needs at least 6 units per day of nutrient A and at least 3 units of nutrient B for her beagles, and that the breeder can choose between to different feeds, feed 1 and feed 2. Each bag of feed 1 cost $3 and provides 1 unit of nutrient A and 2 units of nutrient B. Each bag of feed 2 costs $2 and provides 3 units of nutrient A and 1 unit of nutrient B. How many bags of each type of feed should be bought to minimize daily cost?
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