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I need help with this please

I Need Help With This Please class=

Sagot :

Answer:

Part A

2·a + b ≤ 14

Part B

Please find attached the graph of the inequality created with Microsoft Excel

Part C

1) 4 pounds of apples + 8 pounds of bananas

2) 8 pounds of apples + 6 pounds of bananas

Step-by-step explanation:

Part A

The amount Tony has to buy apples and bananas = $14

The cost of apples per pound = $2

The cost of bananas per pound = $1

Let 'a' and 'b' represent the number of apples and bananas Tony buys respectively, we have;

2·a + b ≤ 14

Part B

In order to plot the inequality, we make one of the variables the subject of the inequality as follows;

b ≤ 14 - 2·a

The above inequality can be plotted with Microsoft Excel and the feasible region shaded as shown in the attached diagram

Part C

Two possible combinations of pounds of apples and bananas that Tony can buy are;

1) 4 pounds of apples and 8 pounds of bananas which gives 2 apples and 8 bananas

2) 8 pounds of apples and 6 pounds of bananas which gives 4 apples and 6 bananas

View image Oeerivona
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