A company manufactures metal sheets and metal bars. The maximum production capacity is estimated at either 800 sheets or 600 bars per day. The...

A company manufactures metal sheets and metal bars. The maximum production capacity is estimated at either 800 sheets or 600 bars per day. The maximum daily demand is 550 sheets and 580 bars. The profit is $40 per sheet and $35 per bar.

(a) Formulate a linear programming model for the problem to maximize profit (clearly define your decision variables, objective and constraints).

(b) Find the optimal solution graphically. How much is the profit for that solution?