i need BOTH answered

In problems 3 - 4, on a piece of paper, solve the following linear programming problem by the method of corners and then answer the following questions here. You do not need to show the graphs here, but will need to for the test. 3. Solve the linear programming problem that was set up in 1la Part I Homework Problem 1. National Business machines manufacture two models of fax machines: A and B. Each model A costs $100 to make and each model B costs $150. The profits are $30 for each model A and $40 for each model B fax machine. If the total number of fax machines demanded per month does not exceed 2500 and the company has embarked no more than $600,000/month for manufacturing costs, how many units of each model should national make each month in order to maximize its monthly profit? a) Type in the corner points found and their corresponding Profit. b) How many units of each model should national make each month in order to maximize its monthly profit? c) What is the maximum profit? 4. Solve the linear programming problem that was set up in 1la Part 1 Homework Problem 2. Deluxe River Cruises, operates a fleet of river vessels. The fleet has two types of vessels: Type A vessels has 60 deluxe cabins and 160 standard cabins, whereas Type B vessel has 80 deluxe cabins and 120 standard cabins. Under a charter agreement with Odyssey travel agency, Deluxe River Cruises is to provide Odyssey with a minimum of 360 deluxe and 680 standard cabins for their 15 day cruise in May. It costs $44,000 to operate a Type-A vessel and S54,000 to operate a Type -B vessel for that period. How many of each type vessel should be used to keep the operating costs at a minimum? a) Type in the comer points found and their corresponding Cost. b) How many of each type of vessel should be used in order to keep the operating costs to a minimum? c) What is the minimum cost