A company fills a warehouse will two types of goods A and B. they both come in tall boxes which cannot be stocked. one box of A text up 1/2m of floor space and cost 5000. one box of B 6 of 1/2 m floor space and cost 30000. the warehouse has 100 m of floor space available. the company can spend up to 1500000 and needs at least 50 boxes of A add 20 boxes of B. if the company buys "a" box of A and "b" of B. write down for inequalities in terms of A and B

Question

Mathematics

Zack Arnold

13 September, 14:47

A company fills a warehouse will two types of goods A and B. they both come in tall boxes which cannot be stocked. one box of A text up 1/2m of floor space and cost 5000. one box of B 6 of 1/2 m floor space and cost 30000. the warehouse has 100 m of floor space available. the company can spend up to 1500000 and needs at least 50 boxes of A add 20 boxes of B. if the company buys "a" box of A and "b" of B. write down for inequalities in terms of A and B

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Answers (1)

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Katelynn Jacobson · Answer 1

(1/2) * A + (1/2) * B 50; for B = > 20

(5000) * A + (30000) * B 50; for B = > 20

Step-by-step explanation:

There are two inequalities in mind, the first of the surface and the second of the price. Always bearing in mind that the minimum are 50 of A and 20 of B.

The first

A occupies 1/2 m and B occupies 1/2 m of surface, and the limit is 100 m of surface. Thus:

(1/2) * A + (1/2) * B 50; for B = > 20

The second:

A costs 5,000 and B costs 30,000, and the limit is 1,500,000. Therefore:

(5000) * A + (30000) * B 50; for B = > 20