Q1: Al Rabie Housewares Company produces goods A, B and C and the profitof Each of the mentioned products is 150, 100 and 200 dollars, respectively. TheProductionneed into three raw materials M1, M2 and M3. Each unit of theproduced requires 7,4,5 units of M1 and 20,8,10 units of M2 and 20,10,15 unitsof M3 respectively. The raw materials were specified as 1200 units of materialM1, 1500 units of material M2, and 2000 units of material M3.Required: Create a mathematical model that achieves the maximum possibleprofit?

The following steps are used to find the solution of the linear programming problem by the simplex…

Answered: Q1: Al Rabie Housewares Company…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 24EQ: Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry...

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Suppose one canoe rents for 40,and2 is taken off the price for each additional canoe rented by a ground. What size group gives the most income? Assume that there are 20 canoes available.
Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry requires $0.30 of coal and $0.70 of steel. Every $1 produced by steel requires $0.80 of coal and $0.20 of steel. Find the annual production (output) of coal and steel if the total annual production is $20 million.
If during the following year it is predicted that each comedy skit will generate 30 thousand and each musical number 20 thousand, find the maximum income for the year. A television program director must schedule comedy skits and musical numbers for prime-time variety shows. Each comedy skit requires 2 hours of rehearsal time, costs 3000, and brings in 20,000 from the shows sponsors. Each musical number requires 1 hour of rehearsal time, costs 6000, and generates 12,000. If 250 hours are available for rehearsal and 600,000 is budgeted for comedy and music, how many segments of each type should be produced to maximize income? Find the maximum income.
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For a particular process, originally each 200 units of product manufactured yielded 180 conforming units, 9 units that must be scrapped, and the remaining units that must be reprocessed. Each scrapped unit results in a $30 loss and each reprocessed unit requires an extra 0.30 hours of processing time. The resource time of producing the original 200 units is 30 hours. As a result of a quality improvement program that was recently introduced, for each 200 units manufactured, the process now yields 190 conforming units, 1 unit to be scrapped, and the remaining units that must be reprocessed. Calculate the scrap cost for the new process.
that the amounts of time (in minutes) required for assembling the frames, installing the wheels, and decorating for the Starstreak and Superstreak models are as given in the following table: Frame Wheels Decoration Starstreak 25 6. 16 Superstreak 14 9 12 Assume also that each day the company has available 135 hours of labor for assembling frames, 95 hours of labor for installing wheels, and 110 hours of labor for decoration. Assume also that the profit on each Starstreak bike is $22.00 and the profit on each Superstreak bike is $26.00. How many bikes of each type should the company make in order maximize its profit?
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The maintenance cost on a new machine is at the rate of 100t dollars per year at time t years. Compute total maintenance cost for the first four years. How many years will it take for the total maintenance cost to amount to $5,000?
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