b) The price of the pants is fixed at $50 and the jacket, $80. The store wants to decide what is the number of pants and jackets that the manufacturer must produce so that these items obtain a maximum sale? Write down an equation for the revenue, R. c) Find the coordinates of all of the vertices of the feasible region. d) Calculate the value of the objective function for all of the vertices and find the most profitable combination of pants and jackets.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section6.1: Ratios And Rates
Problem 40E
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Plz answer b ,c and d part in 10 mint it's very urgent
2. A store has requested a manufacturer to produce pants and sports jackets.
For materials, the manufacturer has 660 m² of cotton textile and 1026 m² of
polyester. Every pair of pants (1 unit) needs 1 m² of cotton and 2 m? of polyester.
Every jacket needs 1.2 m² of cotton and 1 m? of polyester.
Letting x and y represent the number of pants and jackets produced respectively, the
problem can be expressed as:
x+ 1.2y 5 660 (cotton)
2x + ys 1026 (polyester)
x2 0, y 20
a) Graph the inequations above and shade out the feasible region.
1000
500
500
1000 x
16
FOUNDST 20F
b) The price of the pants is fixed at $50 and the jacket, $80. The store wants to
decide what is the number of pants and jackets that the manufacturer must
produce so that these items obtain a maximum sale? Write down an equation for
the revenue, R.
c) Find the coordinates of all of the vertices of the feasible region.
d) Calculate the value of the objective function for all of the vertices and find the
most profitable combination of pants and jackets.
Transcribed Image Text:2. A store has requested a manufacturer to produce pants and sports jackets. For materials, the manufacturer has 660 m² of cotton textile and 1026 m² of polyester. Every pair of pants (1 unit) needs 1 m² of cotton and 2 m? of polyester. Every jacket needs 1.2 m² of cotton and 1 m? of polyester. Letting x and y represent the number of pants and jackets produced respectively, the problem can be expressed as: x+ 1.2y 5 660 (cotton) 2x + ys 1026 (polyester) x2 0, y 20 a) Graph the inequations above and shade out the feasible region. 1000 500 500 1000 x 16 FOUNDST 20F b) The price of the pants is fixed at $50 and the jacket, $80. The store wants to decide what is the number of pants and jackets that the manufacturer must produce so that these items obtain a maximum sale? Write down an equation for the revenue, R. c) Find the coordinates of all of the vertices of the feasible region. d) Calculate the value of the objective function for all of the vertices and find the most profitable combination of pants and jackets.
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