Prime Paints manufactures two types of paints, one for interior painting and theother for exterior painting. Both types require the use of two raw materials - M1and M2, so that the maximum daily availabilities of these materials are 24 tonsand 6 tons, respectively. It is known that 1 ton of the interior type of paintrequires 4 tons of M1 and 2 tons of M2. On the other hand, 1 ton of the exteriortype of paint requires 6 tons of M1 and 1 ton of M2. It has been established thatthe daily demand for interior paint cannot exceed that for the exterior paint bymore than 1 ton. Also, the maximum daily demand for interior paint is 2 tons.The company wants to determine the optimum product mix of interior andexterior paints to maximize the total daily profit given that the profit per ton ofthe interior paint is 4 thousand dollars and the profit per ton of the exterior paintis 5 thousand dollars.Suppose x represents the number of tons produced daily of interior paints and yrepresents the number of tons produced daily of exterior paints. Which of thefollowing describes the constraint pertaining to the market limit of theseproducts?y – x <1x - y<1Y< 2x < 2

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Answered: Prime Paints manufactures two types of…

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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Prime Paints manufactures two types of paints, one for interior painting and the other for exterior painting. Both types require the use of two raw materials - M1 and M2, so that the maximum daily availabilities of these materials are 24 tons and 6 tons, respectively. It is known that 1 ton of the interior type of paint requires 4 tons of M1 and 2 tons of M2. On the other hand, 1 ton of the exterior type of paint requires 6 tons of M1 and 1 ton of M2. It has been established that the daily demand for interior paint cannot exceed that for the exterior paint by more than 1 ton. Also, the maximum daily demand for interior paint is 2 tons. The company wants to determine the optimum product mix of interior and exterior paints to maximize the total daily profit given that the profit per ton of the interior paint is 4 thousand dollars and the profit per ton of the exterior paint is 5 thousand dollars.
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