Prime Paints manufactures two types ofpaints, one for interior painting and theother for exterior painting. Both typesrequire the use of two raw materials -M1 and M2, so that the maximum dailyavailabilities of these materials are 24tons and 6 tons, respectively. It isknown that 1 ton of the interior type ofpaint requires 4 tons of M1 and 2 tonsof M2. On the other hand, 1 ton of theexterior type of paint requires 6 tons ofM1 and 1 ton of M2. It has beenestablished that the daily demand forinterior paint cannot exceed that for theexterior paint by more than 1 ton. Also,the maximum daily demand for interiorpaint is 2 tons. The company wants todetermine the optimum product mix ofinterior and exterior paints to maximizethe total daily profit given that the profitper ton of the interior paint is 4thousand dollars and the profit per tonof the exterior paint is 5 thousanddollars. Suppose x represents the number oftons produced daily of interior paintsand y represents the number of tonsproduced daily of exterior paints. Whichof the following describes the constraintpertaining to raw material usage andproduct demand for M1?6x + 4y ≤ 244x + 6y≤ 24Ox+2y ≤ 6O2x+y<6

Here we firstly take the total quantity of M1 then try to find the equation.

Answered: Suppose x represents the number of tons…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose x represents the number of tons produced daily of interior paints and y represents the number of tons produced daily of exterior paints. Which of the following describes the constraint pertaining to raw material usage and product demand for M1? 6x + 4y ≤ 24 4x + 6y≤ 24 Ox+2y≤6 )2x+y<6