Please show your procedures (not only write the final answer, but also need to write how you find the answer, such as the formulas, plug in the numbers) In other words, please show your work! And circle your final answer.

Problem 3: (5 points)

A California grower has a 50-acre farm on which to plant strawberries and tomatoes. The grower has available 300 hours of labor per week and 800 tons of fertilizer, and he has contracted for shipping space for a maximum of 26 acres worth of strawberries and 37 acres worth of tomatoes. An acre of strawberries requires 10 hours of labor and 8 tons of fertilizer, whereas an acre of tomatoes requires 3 hours of labor and 20 tons of fertilizer. The profit from an acre of strawberries is $400, and the profit from an acre of tomatoes is $500. The farmer wants to know the number of acres of strawberries and tomatoes to plant to maximize profit.

(a) Write down the objective function of the linear programming model for this problem. points)

(b) Write down the constraints of the linear programming model for this problem.

Problem 4: (5 Points)

For the following Linear Programming model;

Maximize Z = 10x1 + 5x2

subject to

3x1 + 8x2 30

45x1 + 30x2 190

x1, x2 0

(a) Write down the Linear Programming standard form by adding slack variables