Members of the swim teams at a competition want to wash their hair. The bathroom has less than 5600 liters of water and at most 1.5 liters of shampoo.

70L+60S < 5600 represents the number of long-haired members L and short-haired members S who can wash their hair with less than 5600 liters of water.
0.02L+0.01S ≤1.50 represents the number of long-haired members and short-haired members who can wash their hair with at most 1.5 liters of shampoo.
Does the bathroom have enough water and shampoo for 35 long-haired members and 40 short-haired members? Does the bathroom have enough water and shampoo for 35 long-haired members and 40 short-haired members based on the feasible region? Why or why not?

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priyankapandeyVT priyankapandeyVT · Answer 1 · 2022-07-19T18:17:57+02:00

Yes, the bathroom have enough water and shampoo for 35 long haired and 40 short haired members.

Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation.

For 35 long haired and 40 short haired member.
Put this values in the given equation.

For water 70L+60S < 5600
70 x 35 + 60 x 40
2450+2400
4850 <5600
inequality holds

For shampoo 0.02L+0.01S ≤ 1.50
0.02 x 35 + 0.01 x 40
0.7 + 0.4
1.1 < 1.50
inequality holds

Thus, the bathroom have enough water and shampoo for 35 long haired and 40 short haired members.

Learn more about inequality here:

brainly.com/question/14098842

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