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# Linear Programing : Maximizing Profit (Simplex Method using Tableaus)

An artist is painting a supply of small paintings to sell at an arts festival. He can paint three landscapes per hour and two
seascapes. He can frame five paintings per hour. He has 50 hours available for painting and 25 hours for framing. How many of each type of painting should he paint and frame in order to maximize the total value of the paintings. He receives \$25 each for the landscapes and \$30 each for the seascapes.

a. Maximum value = \$4,375 for 75 landscapes and 50 seascapes
b. Maximum value = \$3,375 for 75 landscapes and 50 seascapes
c. Maximum value = \$4,375 for 50 landscapes and 75 seascapes
d. Maximum value = \$3,375 for 50 landscapes and 75 seascapes

I have the following problem that I can't figure what the four contraints are.
I let x=number of landscapes, y=number of seascapes.
Since he can not paint a negative number of paintings, I have two of the four contraints
x>=0
y>=o
The objective equation is z = 25x + 30y

#### Solution Summary

Profit is maximized using LP. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

\$2.19