Question
A company manufactures two products, A and B. The
contribution per unit for A is ₹50 and for B is ₹60. Each unit of A requires 4 machine hours, and B requires 6 machine hours. Total machine hours available = 1,400. Fixed costs = ₹4,000. If the company can sell a maximum of 200 units of each, what is the maximum profit possible under machine hour constraints?Solution
Contribution per hour: A = 50/4 = ₹12.5, B = 60/6 = ₹10 → A has higher contribution per hour so first of all the machine hours will be utilized in manufacturing of product A. Max possible units = A: 200 units × 4 = 800 hrs Remaining = 1,400 – 800 = 600 hrs → B = 600/6 = 100 units Total contribution = (200×50) + (100 ×60) = ₹10,000 + ₹6,000 = ₹16,000 Profit = Contribution – Fixed = ₹16,000 – ₹4,000 = ₹12,000
If f(x) = x² − 4x + 5, find minimum value.
Quantity-I: R allocated 45% of his income to pay for gym fees and then spent 40% of the remaining amount on protein supplements. If he is left with Rs....
The current ages of three friends, Aman, Bheema, and Chintu, are represented as (p−3), p, and (2p−6) years, respectively. It ...
Quantity-I: 'E' can do 40% of work in 32 hours. Find the value of 'Y' if the time taken by him to complete the whole work is 'Y' hours.
Quantit...
In this problem, you are presented with two quantities, Quantity I and Quantity II.calculate both quantities and determine the correct relationship bet...
Quantity I: The cost price of a watch with a marked price of Rs. 500, which, after being sold at a 50% discount, still results in a profit of 25%.
...Quantity-I: 'D' can do 55% of work in 44 hours. Find the value of 'Y' if the time taken by him to complete the whole work is 'Y' hours.
Quantit...
Two quantities are given as Quantity I and Quantity II. You have to determine the relationship between them and give ...
Quantity I: The ratio of the ages of A and B is 3:1, and the ratio of the ages of B to C is 3:5. If C’s age after 20 years equals A’s current age, a...
The question consists of two quantities, choose the correct option which represents the. correct relation between Quantity I and Quantity II.
...
