A sports manufacturing unit makes balls and bats. Processing of the products is done in one machine. The ball requires 8 hours in the facility for processing and the bat requires 14 hours. The profit that can be made by selling a ball will be Rs 100/unit and selling a bat will be Rs 150/unit. The machine will be operated for 1500 hours. Which equations/inequations will represent the constraints if the problem is being formulated as linear programming to maximize the profit? Assume x units of ball and y units of bat sold.
1
x ≤ 0, y ≤ 0, 8x + 14y ≤ 1500
2
x ≥ 0, y ≥ 0, 100y + 150x ≤ 1500
3
x ≥ 0, y ≥ 0, 100x + 150y ≤ 1500
4
x ≥ 0, y ≥ 0, 8x + 14y ≤ 1500