Mathematics, 18.03.2021 01:00 zanaplen27
Question 5 – Linear Programming
5) A tailor makes pants and sports jackets. He's a great tailor so every item of clothing that he
creates always sells out immediately,
For material he has 750 m² of cotton textile and 1000 m² of polyester. Every pair of pants (1
unit) needs 1 m² of cotton and 2 m? of polyester. Every jacket needs 1.5 m2 of cotton and 1
m? of polyester. He makes a profit of €50 on every pants he sells, and €40 on every jacket
he sells
The tailor wonders what number of pants and what number of jackets he should make in
order to maximise his profit?
(a)
Letting . = the number of pants and y = the number of jackets he should make, write
down the objective function for this problem.
(b)
Write down the constraints for this problem as a system of 4 inequalities.
(c)
What are the coordinates of the 4 points (including the point (0, 0)] that are at the 4
corners (ie, the vertices) of the 'feasible region' for this problem?
(d)
Graph the constraint inequalities, and on the graph shade in the feasible region.
What number of pants and what number of jackets should the tailor make in order to
maximise his profit?
Answers: 2
Mathematics, 21.06.2019 19:00, heartykwarteng12
The reflexive property of congruence lets you say that ∠pqr ≅
Answers: 1
Mathematics, 21.06.2019 23:30, jwbri
If the car had not hit the fence, how much farther would it have skidded? solve the skid-distance formula to find the extra distance that the car would have traveled if it had not hit the fence. round your answer to two decimal places. note that unit conversion is built into the skid distance formula, so no unit conversions are needed.
Answers: 2
Question 5 – Linear Programming
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