JuanTorres7
03.07.2020 •
Mathematics
A retail store sells two types of shoes, sneakers, and sandals. The store owner pays $8 for the sneakers and $14 for the sandals. The sneakers can be sold for $10 and the sandals can be sold for $17. The owner of the store estimates that she won't sell more than 200 shoes each month, and doesn't plan to invest more than $2,000 on inventory of the shoes. How many of each type of shoe should be stocked in order to maximize her total monthly profit?
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Ответ:
The number of sneaker is 133 and sandals is 67.
Step-by-step explanation:
Let the total sneaker = x
Let the total sandals = y
Price of sneaker $8 and price of sandals $14.
Maximum amount that can be invested = $2000
Maximum number of pair of shoes can be sold = 200 shoes.
Here we make two equation; x + y ≤ 200
8x + 14y ≤ 2000
Now solve these two equation for the value of x and y.
x + y = 200
x = 200 – y
now put value of x in 8x + 14y = 2000.
8(200-y) + 14y = 2000
Y = 66.67 or 67 (round off)
Now put value of Y in x + y = 200.
x = 200 – y
x = 200 – 67
x = 133
Ответ: