Please answer the following operational research problem. please show all work for all parts thank you.

Four products are processed successively on two machines. The manufacturing times in hours per unit of each product are tabulated below for the two machines. Machine Time per unit (hours) Product 2 Product 3 Product Product 4 The total cost of producing a unit of each product is based directly on the machine time. Assume the cost per hour for machines 1 and 2 are $10 and $15. The total hours budgeted for all the products on machine 1 and 2 are 500 and 380. If the sale price per unit for products 1, 2, 3, and 4 are $65, S70, $55, and $45, formulate the problem as a linear programming model to maximize total net profit