If you use excel please show all steps.

Problem 1 ( 30 points) Formulate a Linear Programming model to identify the optimum production quantity, so the company maximizes its profit. The company produces two refrigerator models: large (L) and medium (M). Although materials to produce the refrigerators are available, fabrication time and assembly time are limited. The time required for fabrication and assembly per refrigerator unit is summarized in the following table, along with the total available time. Each unit of L contributes $50 to profit, and each unit of model M contributes $40 to profit. How many units of each model should be produced if the objective is to maximize profit? (Round "L" to 2 decimal places.)