Option-1 is correct
The upper limit of profit per unit of A is $7 and it has been increased to $7 as well. So, since the upper limit is not crossed, the optimal solution of x1=0 will remain the same and the objective will also remain the same.
A company that manufactures three products, A. & and using three machines, M1, M2, and M3,...
A company that manufactures the products, and closing three machines M1, M2, and wants to determine the optimal production schedule that maximizes the total profic Product A has to be processed by machines M1, M2, and Ms product requires M1 and M3, while product requires M1 and M2. The unit profits on the three products are 36, 36, and S7, respectively. The following linear program is formulated to determine the optimal product mix Maxme st ZH66x + 7x x +...
Problem 3-23 (Algorithmic) Vollmer Manufacturing makes three components for sale to refrigeration companies. The components are processed on two machines: a shaper and a grinder. The times (in minutes) required on each machine are as follows: Machine Shaper Grinder Component 1 4 2 5 3 2 The shaper is available for 130 hours, and the grinder is available for 85 hours. No more than 350 units of component 3 can be sold, but up to 1050 units of each of...
4. A company manufactures two products, X and Y by using three machines A, B, and c Each of the products has to be processed on each machines. The Table below shows (a) the hours required on each machine to produce one unit of each of the products (b) the total number of hours available on each machine (c) the profit made on one unit of each product. It is assumed that the profit is directly proportional to the number...
Given the system of linear inequalities below. You are completing a maximization problem where you have 2 machines, Machine 1 and Machine 2, which we will identify as M1 and M2. These machines produce 2 products, Product 1 and Product 2, which we identify as P1 and P2. Our objective function is M = 20x + 50y. 3x + y =21 4x +y 27 x 20 (y20 Suppose you are told that the maximum occurs at a vertex (corner point)...
A company produces two products on two machines. •A unit of Product 1 requires 2 hrs on machine 1 and 1 hr on machine 2. •For Product 2, a unit requires 1 hr on machine 1 and 3 hrs on machine 2. •The profitper unit of Products 1 and 2 are $30 and $20, respectively. •The total weeklyprocessing time available for each machine is 80hrs. Question 1: Let x be the number of units produced for Product 1 and y...
Q4: 3 marks A manufacturer has three machines I, Il and Il installed in his factory. Machines I and Il are capable of being operated for at most 12 hours whereas machine III must be operated for at least 5 hours a day. She produces only two items M and N each requiring the use of all the three machines. The number of hours required for producing 1 unit of each of M and N on the three machines are...
Use Excel/Solver add in for accurate answers. Problem 3-19 (Algorithmic) Better Products, Inc., manufactures three products on two machines. In a typical week, 40 hours are available on each machine. The profit contribution and production time in hours per unit are as follows: Category Product 1 Product 2 Product 3 Profit/unit $39 $51 $18 Machine 1 time/unit 1.5 Machine 2 time/unit Two operators are required for machine 1; thus, 2 hours of labor must be scheduled for each hour of...
A company manufactures four products (1,2,3,4) on two machines (X and Y). The time (in minutes) to process one unit of each product on each machine is shown below:, Product 1 in X = 10 min , in Y= 27 min Product 2 in X = 12 min , in Y =19 min Product 3 in X =13 min,in Y =33 min Product 4 in X = 8 min,in Y =23 min The profit per unit for each product (1,2,3,4)...
Problem 3-13 (Algorithmic) Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $59, $89, and $137, respectively. The production requirements per unit are as follows: Number of Fans Number of Cooling Coils Manufacturing Time (hours) Economy 1 1 8 Standard 1 2 12 Deluxe 1 4 14 For the coming production period, the company has 240 fan motors, 380 cooling coils, and 2500 hours of manufacturing...
The Ace Manufacturing Company has orders for three similar products: Product Order (Units) A 1750 B 500 C 1100 Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect percentages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are as follows: Machine Capacity (Units)...