Question: A firm makes 2 products A and B using two components S and T. One unit of product A requires 2 units of S and

A firm makes 2 products A and B using two components S and T. One unit of product A requires 2 units of S and 3 units of T while one unit of B requires 4 units of S and 5 units of T. One unit of A sells for $10. One unit of B sells for $15. We have 100 units of S and 100 units of T available with us. Our goal is to formulate a linear program to find the profit maximizing production plan. Let x_A and x_B be the decision variables representing respectively the number of units of A and B to produce. Which of the following choices represents the objective function and constraints correctly?

		Objective Function: Max 10 x_A + 15 x_B Constraints: 2 x_A + 4 x_B <= 100. 3 x_A + 5 x_B<= 100.
		Objective Function: Max 10 x_A + 15 x_B Constraints: x_A, x_B >= 0. 2 x_A + 4 x_B <= 100. 3 x_A + 5 x_B<= 100.
		Objective Function: Max 10 x_A + 15 x_B Constraints: x_A, x_B >= 0. 2 x_A + 3 x_B <= 100. 4 x_A + 5 x_B<= 100.
		Objective Function: Max 10 x_A + 15 x_B Constraints: 2 x_A + 3 x_B <= 100. 4 x_A + 5 x_B<= 100.

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