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iris [78.8K]
2 years ago
12

For the following problem state the objective function and the constraints. DO NOT solve:

Mathematics
1 answer:
Mama L [17]2 years ago
5 0

Answer:

If we define S as the number Sprinkle's umbrellas, and H as the Hurricane's umbrellas, the profit P can be expressed as:

P=3S+5H

The restriction for cloth can be written as:

S+2H\leq500

The restriction for metal can be written as:

2S+3H\leq600

The restriction for wood can be written as:

4S+7H\leq800

The condition for S and H to be positive is:

S, H \geq0

Step-by-step explanation:

We have an objective function that, in this case, we want ot maximize.

This function is the Profit (P).

If we define S as the number Sprinkle's umbrellas, and H as the Hurricane's umbrellas, the profit can be expressed as:

P=3S+5H

We have 3 restrictions, plus the condition that both S and H are positive.

The restriction for cloth can be written as:

S+2H\leq500

The restriction for metal can be written as:

2S+3H\leq600

The restriction for wood can be written as:

4S+7H\leq800

The condition for S and H to be positive is:

S, H \geq0

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