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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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