Linear Programming Problems MCQ Tests
12th Class Math MCQ Tests
Linear Programming Problems
of 12th Class Math has 5 questions. If you take an online MCQ test, the system will randomly choose the questions. If you want to take the quiz by chapter then click the start test button.
Total Questions: 5
Total Marks: 5
Time: 5 Mins
Total Questions: 5
Total Marks: 5
Time: 5 Mins
5Min : 00 Sec Remaining
Question # 1
z = 2 x + 3 y is maximum at _____ subject to the constraints: 3 x + 4 y ≤ 12 , 2 x + y ≤ 4 , 4 x − y ≤ 4 , x , y ≥ 0.
Question # 2
A farmer possess 100 canals of lands and wants to grow corn and wheat. Cultivation of corn requires 3 hours per canal while cultivation of wheat requires 2 hours per canal. Working hours cannot exceed 240 . If he gets a profit of Rs. 20 per canal for corn and Rs. 15 per canal for wheat, how many canals of each he should cultivate to maximize his profit?
Question # 3
Consider you need to buy some new filing cabinets. You know that it is $ 10 per unit to buy Cabinet X , which holds 8 cubic feet of files and requires floor space of 6 square feet. On the other hand, it is $ 20 for every unit of Cabinet Y which requires floor space of 8 square feet and holds about 5 cubic feet of files. For this purchase, you have been given $ 140 but dont really have to spend all of it. The space in the office only has room for a maximum of seventy-two square feet of furniture. To maximize the volume of files you can store, how many of which model do you need to buy?
Question # 4
The minimum value of C = 3 x + 4 y ; subject to the constraints: 3 x − 4 y ≤ 12 , x + 2 y ≥ 4 , x ≥ 1 , y ≥ 0 is:
Question # 5
A small factory produces two types of toys: trucks and bicycles. In the manufacturing process two machines are used, the lathe and the assembler. The table shows the length of time needed for each toy. The lathe can be operated for 16 hours a day and there are two assemblers which can each be used for 12 hours a day. Each bicycle gives a profit of $ 16 and each truck gives a profit of $ 14. Which maximum value of the profit can be achieved?
Total Questions
12345
Question # 1
z = 2 x + 3 y is maximum at _____ subject to the constraints: 3 x + 4 y ≤ 12 , 2 x + y ≤ 4 , 4 x − y ≤ 4 , x , y ≥ 0.
Question # 2
A farmer possess 100 canals of lands and wants to grow corn and wheat. Cultivation of corn requires 3 hours per canal while cultivation of wheat requires 2 hours per canal. Working hours cannot exceed 240 . If he gets a profit of Rs. 20 per canal for corn and Rs. 15 per canal for wheat, how many canals of each he should cultivate to maximize his profit?
Question # 3
Consider you need to buy some new filing cabinets. You know that it is $ 10 per unit to buy Cabinet X , which holds 8 cubic feet of files and requires floor space of 6 square feet. On the other hand, it is $ 20 for every unit of Cabinet Y which requires floor space of 8 square feet and holds about 5 cubic feet of files. For this purchase, you have been given $ 140 but dont really have to spend all of it. The space in the office only has room for a maximum of seventy-two square feet of furniture. To maximize the volume of files you can store, how many of which model do you need to buy?
Question # 4
The minimum value of C = 3 x + 4 y ; subject to the constraints: 3 x − 4 y ≤ 12 , x + 2 y ≥ 4 , x ≥ 1 , y ≥ 0 is:
Question # 5
A small factory produces two types of toys: trucks and bicycles. In the manufacturing process two machines are used, the lathe and the assembler. The table shows the length of time needed for each toy. The lathe can be operated for 16 hours a day and there are two assemblers which can each be used for 12 hours a day. Each bicycle gives a profit of $ 16 and each truck gives a profit of $ 14. Which maximum value of the profit can be achieved?
Total Questions
12345
Math
12th Class Online Classes 2026
Updated on: 17-05-2026
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