MLF week 9 - real exam questions

A logistics company transports goods using two types of vehicles: trucks ( ) and vans ( ). Each truck consumes 6 litres of fuel and requires 4 hours of driver time per trip. Each van consumes 3 litres of fuel and requires 5 hours of driver time per trip. The company must complete at least 120 litres worth of fuel usage and at least 200 driver hours per week. The cost per truck trip is Rs. 80 and per van trip is Rs. 50. Note: The company wants to fulfill these requirements at the lowest possible cost. Based on the above data, answer the given subquestions.

A logistics company transports goods using two types of vehicles: trucks ( ) and vans ( ). Each truck consumes 6 litres of fuel and requires 4 hours of driver time per trip. Each van consumes 3 litres of fuel and requires 5 hours of driver time per trip. The company must complete at least 120 litres worth of fuel usage and at least 200 driver hours per week. The cost per truck trip is Rs. 80 and per van trip is Rs. 50. Note: The company wants to fulfill these requirements at the lowest possible cost. Based on the above data, answer the given subquestions.

A logistics company transports goods using two types of vehicles: trucks ( ) and vans ( ). Each truck consumes 6 litres of fuel and requires 4 hours of driver time per trip. Each van consumes 3 litres of fuel and requires 5 hours of driver time per trip. The company must complete at least 120 litres worth of fuel usage and at least 200 driver hours per week. The cost per truck trip is Rs. 80 and per van trip is Rs. 50. Note: The company wants to fulfill these requirements at the lowest possible cost. Based on the above data, answer the given subquestions.

Consider the following constrained optimization problem: Answer the sub-questions assuming that we take a very small step in the direction of interest.

Based on the above data, answer the given subquestions.

Based on the above data, answer the given subquestions.

Based on the above data, answer the given subquestions.

A company produces two types of products P1 and P2. The cost price per unit of P1 and P2 are ₹2 and ₹3, respectively. The production process requires two types of resources: labor hours and machine hours. Each unit of p1 requires 2 labor hours and 1 machine hour, while each unit of P2 requires 1 labor hour and 3 machine hours. The company has constraints on the availability of labor and machine hours, which are 80 and 90 hours, respectively. Use the above information to answer the given sub-questions.

A person went to the market to buy hens. Old hens can be bought for ₹ 200.00 each but young hens can be bought for ₹ 500.00 each. The old hens lay 3 eggs per week and the young hens lay 5 eggs per week. Each egg costs Rs. 11. A hen costs ₹ 50.00 per week to feed. If the financial constraint is ₹ 8000 per week to buy hens and the capacity constraint is that the total number of hens bought cannot exceed 20 per week. The objective is to earn more profit. Let x represent the number of old hens and y represent the number of young hens. Use the above information to answer the given subquestions

A company manufactures two types of products, A and B. Market research and available resources have indicated that the combined production level should not exceed 1200 products per week and demand for products of type B is at most half of that times production of products of type A. Further, the production level of products of type A can exceed three times the production of products of other type at most 600 units. If the company makes profits of $12 and $16 per products respectively on products A and B. If the number of products manufactured of type A and type B are x and y respectively, then formulate this problem so that the company can maximize the profit. Based on the above data answer the given subquestions

A company manufactures two types of products, A and B. Market research and available resources have indicated that the combined production level should not exceed 1200 products per week and demand for products of type B is at most half of that times production of products of type A. Further, the production level of products of type A can exceed three times the production of products of other type at most 600 units. If the company makes profits of $12 and $16 per products respectively on products A and B. If the number of products manufactured of type A and type B are x and y respectively, then formulate this problem so that the company can maximize the profit. Based on the above data, answer the given subquestions.

A manufacturing company makes two types of television sets; one is smart led and the other is normal led. The company has resources to make at most 300 sets a week. It takes Rs 1800 to make a smart led set and Rs 2700 to make a normal led set. The company can spend not more than Rs 648000 a week to make television sets. If it makes a profit of Rs 510 per smart led and Rs 675 per normal led. Based on the above data, answer the given subquestions.

A manufacturing company makes two types of television sets; one is smart led and the other is normal led. The company has resources to make at most 300 sets a week. It takes Rs 1800 to make a smart led set and Rs 2700 to make a normal led set. The company can spend not more than Rs 648000 a week to make television sets. If it makes a profit of Rs 510 per smart led and Rs 675 per normal led. Based on the above data, answer the given subquestions.