. A company sells two types of products, pants and shirts. He has 50,000 to invest and has storage space of at most 60 pieces. A pant costs 2500 and a shirt 500. He estimates that from the sale of one pants , he can make a profit of 250 and that from the sale of one shirt a profit of 75. How many pants and tshirts he should sell from the available money so as to maximise his total profit? (DO NOT SOLVE, ONLY DEVELOP THE MATHEMATICAL MODEL)

asked by Hail

4 years ago

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1 answer

so, what do you know?
p+s ≤ 60
2500p+500s ≤ 50000
and you want to maximize
z = 250p+75s
so graph the region and pick the vertex where z is maximum

answered by oobleck

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Question

. A company sells two types of products, pants and shirts. He has 50,000 to invest and has storage space of at most 60 pieces. A pant costs 2500 and a shirt 500. He estimates that from the sale of one pants , he can make a profit of 250 and that from the sale of one shirt a profit of 75. How many pants and tshirts he should sell from the available money so as to maximise his total profit? (DO NOT SOLVE, ONLY DEVELOP THE MATHEMATICAL MODEL)

1 answer

so, what do you know?
p+s ≤ 60
2500p+500s ≤ 50000
and you want to maximize
z = 250p+75s
so graph the region and pick the vertex where z is maximum

oobleck · Answer

so, what do you know? p+s ≤ 60 2500p+500s ≤ 50000 and you want to maximize z = 250p+75s so graph the region and pick the vertex where z is maximum