An E-company produces two similar products, "Gadget" and "Widget". "Gadget" is made of 50 pounds of raw material A and 30 pounds of raw material B, while "Widget" is made of 40 pounds of material A and 20 pounds of material B. For this production period, the company has a supply of only 60,000 pounds of material A and 90,000 pounds of material B. The profit contributions are $5 and $3 per product, respectively, for "Gadget" and "Widget". Formulate the problem as a linear program in LINDO format to determine the number of each product to be produced to maximize total profit. Make sure that you define all decision variables precisely