SOLUTION: An agent is to purchase two products, G and H, and send them to the company's warehouse. He has a budget of $70,000 and truck space of 9,000 cubic meters. The product costs and siz

Question 1165663: An agent is to purchase two products, G and H, and send them to the company's warehouse. He has a budget of $70,000 and truck space of 9,000 cubic meters. The product costs and sizes are as follows:
Cost per case for G is $10 while H is $20.
Volume per Case for G is 3m^3 while for H is 2m^3.
How much of each product should be purchased if both the budget and space are to be used up?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
n agent is to purchase two products, G and H, and send them to the company's warehouse.
He has a budget of $70,000 and truck space of 9,000 cubic meters.
The product costs and sizes are as follows:
Cost per case for G is $10 while H is $20.
Volume per Case for G is 3m^3 while for H is 2m^3.
How much of each product should be purchased if both the budget and space are to be used up?
:
10g + 20h = 70000, cost equation
3g + 2h = 9000, space equation
:
multiply the 2nd equation by 10, subtract the 1st equation
30g + 20h = 90000
10g + 20h = 70000
-------------------subtraction eliminates h, find g
20g = 20000
g = 1000 ea of product G
:
and using the 2nd original equation
3(1000) + 2h = 9000
3000 + 2h = 9000
2h = 9000 - 3000
2h = 6000
h = 6000/2
h = 3000 ea of product H
:
:
Check solution in the 1st equation
10(1000) + 20(3000) =
10000 + 60000 = 70000

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