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
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
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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Transcribed Image Text: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.
Transcribed Image Text: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
O2x+y<6
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