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IgorC [24]
3 years ago
5

A toy manufacturer makes lightweight balls for indoor play. The large basketball uses 4 ounces of foam and 20 minutes of labor a

nd brings a profit of $2.50. The football uses 3 ounces of foam and 30 minutes of labor and brings a profit of $2. The manufacturer has available 48 pounds (768 ounces) of foam, and 120 labor-hours a week.
Use the simplex method to determine the optimal production schedule so as to maximize profits.
Mathematics
1 answer:
trapecia [35]3 years ago
6 0

Answer:

(24, 224 ) i.e. 24 basketball and 224 footballs

Step-by-step explanation:

<em>Basketball :</em>

uses 4 ounces of foam

20 minutes of labor

profit = $2.50

<em>Football :</em>

uses 3 ounces of foam

30 minutes of labor

profit = $2

Manufacturer has :

768 ounces of foam , 120 labor hours per week,

<u>using the simplex method to determine the optimal production schedule so as to maximize profits </u>

lets assume

x = number of basketball

y = number of footballs

maximize = 2.5 x + 2y  from a linear programming problem

attached below is the detailed solution

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There are 7.48 gallons in a cubic foot. If residents of the apartment building are using the water from the tower at an average
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Answer:

Time it will take to drain the entire tower = 2.8minutes

Step-by-step explanation:

The question is incomplete as the volume of the tower was not indicated.

Let's consider the following question:

If there are 7.48 gallons in a cubic foot, and the volume of the tower is around 36000in cubed. Residents of the apartment building are using the water from the tower at an average rate of 56 gallons per minute, determine how long it will take to drain the entire tower.

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Conversion of in³ to ft³

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= 20.833ft³

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= 20.833× 7.48gallons

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The rate of usage for 155.83 gallons = 155.83 gallons × (1min/56gallons)

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