Problem 6. (25 total points) Professor Scutari is so proud of your grade on the

Question

Problem 6. (25 total points) Professor Scutari is so proud of your grade on the first midterm that he gets you a job with Purdue Facilities. They are rebuilding our beloved Grissom Hall. For the next three months, they need to store extra equipment, building materials, etc. A local company offers warehouse space based on monthly usage. You need to set up an LP to find the cheapest way to store what is needed. Below is a chart of the space you need for each month. Next to it is a chart of the leasing options-the total price per square foot leased and the corresponding duration Note that you may have multiple, overlapping leases (e.g. two one-month leases for March and April and a two-month lease starting in April). All leases should end by May. You may lease more space than required Mpnth Space Required Duration Cost per Sq. ft leased (months) (sq, ft.) March30,000 April 20,000 May S65 $100 $135 40,000

Explanation / Answer

for this question

let a,b,c be the space taken in first , second, third month respectively

then in first month we took 'a' space

in second month we took 'a+b' space

in third month we took 'a+b+c' space

and as per our requirement

a>=30000

a+b>=20000

a+b+c>=40000

we have to minimize z = 135*a+100*b+65*c

by this our solution is

a=30000

b=0

c=10000

z=4700000

i hope you understand the concept

feel free to ask any doubt in this solution

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