The manager of Hilton hotel has enough funds to buy at most 100 crates of soft drinks of type A and type B. He wishes...

The manager of Hilton hotel has enough funds to buy at most 100 crates of soft drinks of type A and type B. He wishes to buy more than twice as many crates of type A as type B. He wants to buy a maximum of 80 crates of type A and at least 10 crates of type B. Letting x represent the number of crates of type A and y the number of crates of type B;
(a) Write down all the inequalities which represent the above information.
(b) Represent the inequalities in (a) above on the graph provided.
The profit from the sale of a crate of type A is kshs. 60, while that of type B is kshs. 40. Find the number of crates he should buy to maximize his profit.
(c) Find the profit.

Answers

a)x + y = 100
x = 2y
x = 80
y = 10

Type A = 80 crates
Type B = 20 crates

c)Profit = (80 × 60) + (20 × 40)
= shs. 5600

Kavungya answered the question on September 24, 2019 at 09:23

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