Teachoo MCQ Test

Case Based MCQ Quiz

Preparing for CBSE

Chapter 12 Class 12 Linear Programming | 9 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 864
Question 1 of 9
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Question 1 of 9
A dealer in
A dealer in
A dealer in rural area wishes to purchase a number of sewing machines. He has only Rs. 5,760 to invest and has space for at most 20 items for storage. An electronic sewing machine cost him Rs. 360 and a manually operated sewing machine Rs. 240. He can sell an electronic sewing machine at a profit of Rs. 22 and a manually operated machine at a profit of Rs. 18. Assume that the electronic sewing machines he can sell is \(x\) and that of manually operated machines is y .
The objective function is \(\_\_\_\_\) .
Select one option. Answers are shown after the test.
Question 2 of 9
A dealer in
A dealer in
A dealer in rural area wishes to purchase a number of sewing machines. He has only Rs. 5,760 to invest and has space for at most 20 items for storage. An electronic sewing machine cost him Rs. 360 and a manually operated sewing machine Rs. 240. He can sell an electronic sewing machine at a profit of Rs. 22 and a manually operated machine at a profit of Rs. 18. Assume that the electronic sewing machines he can sell is \(x\) and that of manually operated machines is y .
The maximum value of \(\mathrm{x}+\mathrm{y}\) is \(\_\_\_\_\) .
Select one option. Answers are shown after the test.
Question 3 of 9
A dealer in
A dealer in
A dealer in rural area wishes to purchase a number of sewing machines. He has only Rs. 5,760 to invest and has space for at most 20 items for storage. An electronic sewing machine cost him Rs. 360 and a manually operated sewing machine Rs. 240. He can sell an electronic sewing machine at a profit of Rs. 22 and a manually operated machine at a profit of Rs. 18. Assume that the electronic sewing machines he can sell is \(x\) and that of manually operated machines is y .
Which of the following is not a constraint?
Select one option. Answers are shown after the test.
Question 4 of 9
A dealer in
A dealer in
A dealer in rural area wishes to purchase a number of sewing machines. He has only Rs. 5,760 to invest and has space for at most 20 items for storage. An electronic sewing machine cost him Rs. 360 and a manually operated sewing machine Rs. 240. He can sell an electronic sewing machine at a profit of Rs. 22 and a manually operated machine at a profit of Rs. 18. Assume that the electronic sewing machines he can sell is \(x\) and that of manually operated machines is y .
The profit is maximum when \((x, y)=\) \(\_\_\_\_\)
Select one option. Answers are shown after the test.
Question 5 of 9
A dealer in
A dealer in
A dealer in rural area wishes to purchase a number of sewing machines. He has only Rs. 5,760 to invest and has space for at most 20 items for storage. An electronic sewing machine cost him Rs. 360 and a manually operated sewing machine Rs. 240. He can sell an electronic sewing machine at a profit of Rs. 22 and a manually operated machine at a profit of Rs. 18. Assume that the electronic sewing machines he can sell is \(x\) and that of manually operated machines is y .
The maximum profit is Rs. \(\_\_\_\_\) .
Select one option. Answers are shown after the test.
Question 6 of 9
A manufacturer manufactures
A manufacturer manufactures
A manufacturer manufactures two types of tea-cups, A and B. Three machines are needed for manufacturing the tea cups. The time in minutes required for manufacturing each cup on the machines is given below:

Times in Minutes
Type of CupMachine 1Machine 2Machine 3
A12186
B609


Each machine is available for a maximum of six hours per day. If the profit on each cup of type A is Rs. 1.50 and that on each cup of type B is Rs. 1.00. Then answer the following questions:
Let \(x\) be the number of \(A\) type tea cups and \(y\) be the number of \(B\) type tea cups. Then the objective function associative with the given problem is:
Select one option. Answers are shown after the test.
Question 7 of 9
A manufacturer manufactures
A manufacturer manufactures
A manufacturer manufactures two types of tea-cups, A and B. Three machines are needed for manufacturing the tea cups. The time in minutes required for manufacturing each cup on the machines is given below:

Times in Minutes
Type of CupMachine 1Machine 2Machine 3
A12186
B609


Each machine is available for a maximum of six hours per day. If the profit on each cup of type A is Rs. 1.50 and that on each cup of type B is Rs. 1.00. Then answer the following questions:
The non-negative conditions are given as:
Select one option. Answers are shown after the test.
Question 8 of 9
A manufacturer manufactures
A manufacturer manufactures
A manufacturer manufactures two types of tea-cups, A and B. Three machines are needed for manufacturing the tea cups. The time in minutes required for manufacturing each cup on the machines is given below:

Times in Minutes
Type of CupMachine 1Machine 2Machine 3
A12186
B609


Each machine is available for a maximum of six hours per day. If the profit on each cup of type A is Rs. 1.50 and that on each cup of type B is Rs. 1.00. Then answer the following questions:
Feasible region has how many corner points?
Select one option. Answers are shown after the test.
Question 9 of 9
A manufacturer manufactures
A manufacturer manufactures
A manufacturer manufactures two types of tea-cups, A and B. Three machines are needed for manufacturing the tea cups. The time in minutes required for manufacturing each cup on the machines is given below:

Times in Minutes
Type of CupMachine 1Machine 2Machine 3
A12186
B609


Each machine is available for a maximum of six hours per day. If the profit on each cup of type A is Rs. 1.50 and that on each cup of type B is Rs. 1.00. Then answer the following questions:
The Maximum Profit is :
Select one option. Answers are shown after the test.