LINEAR PROGRAMMING. A certain Repair Shop with only the owner doing therepair job would like to earn P3,000.00 for two days. On the average, he chargesP500 per piece for the repair of one unit of laptop and P200 for the repair of eachunit of one cellphone. He works for 8 hours a day. He spends on the average 2 hoursto repair a unit of laptop and 1.5 hours to repair a cellphone.Using linear programming, determine how many units of laptops and how units ofcellphone he must repair for two days in order for him to earn exactly P3,000.00 fortwo days.You may use linear equations and/or inequalities to arrive at the answers. Check theconsistency of your answers.

Let the number of the desktop models be x and the number of the portable models be y According to…

Answered: Using linear programming, determine how…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section: Chapter Questions

Problem 52P

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Lemingtons is trying to determine how many Jean Hudson dresses to order for the spring season. Demand for the dresses is assumed to follow a normal distribution with mean 400 and standard deviation 100. The contract between Jean Hudson and Lemingtons works as follows. At the beginning of the season, Lemingtons reserves x units of capacity. Lemingtons must take delivery for at least 0.8x dresses and can, if desired, take delivery on up to x dresses. Each dress sells for 160 and Hudson charges 50 per dress. If Lemingtons does not take delivery on all x dresses, it owes Hudson a 5 penalty for each unit of reserved capacity that is unused. For example, if Lemingtons orders 450 dresses and demand is for 400 dresses, Lemingtons will receive 400 dresses and owe Jean 400(50) + 50(5). How many units of capacity should Lemingtons reserve to maximize its expected profit?
In the lawn mower production problem in Example 8.4, experiment with the penalty cost for unsatisfied pickups in week 1. If this cost is sufficiently small, does the company ever produce fewer than seven models in week 1 and allow some week 1 pickups to be unsatisfied?
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Using linear programming, determine how many units of laptops and how units of cellphone he must repair for two days in order for him to earn exactly P3,000.00 for two days. You may use linear equations and/or inequalities to arrive at the answers. Check the consistency of your answers.