Question: Set up the linear programming problem. Do not attempt to solve it. The American Mathematics Teachers Association holds a four-day conference on technology in the
Set up the linear programming problem. Do not attempt to solve it. The American Mathematics Teachers Association holds a four-day conference on technology in the classroom. The organizers plan to rent computers to be placed in the location of each session. They need the following number of computers:
| No. of Computers | ||
|---|---|---|
| First Day | 11 | |
| Second Day | 14 | |
| Third Day | 19 | |
| Fourth Day | 22 |
They can rent computers for two consecutive days for $65 each or for three consecutive days for $85 each. Find the number that should be rented for each two-day and for each three-day period so that rental cost is a minimum. (Let x1 represent the number of computers rented at the two-day rate starting on the first day, x2 the number of computers rented at the two-day rate starting on the second day, x3 the number of computers rented at the two-day rate starting on the third day, x4 the number of computers rented at the three-day rate starting on the first day, x5 the number of computers rented at the three-day rate starting on the second day, and z the cost in dollars.)
| ---Select--- Maximize Minimize z = |
| , subject to |
| needed first day |
| |
| needed second day |
| |
| needed third day |
| |
| needed fourth day |
| |
| x1 0, x2 0, x3 0, x4 0, x5 0 |
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