Business Mathematics

A sum of money is deposited by Krishna which compounds interest annually. The amount at the end of 2 years is Rs. 5000 and at the end of 3 years is 5200. Find the money deposited and the rate of interest.

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Introduction This problem is related to compound interest, a crucial concept in business mathematics and banking. Krishna deposits a sum of money which earns compound interest annually. We’re given the amount after 2 years and 3 years. Using this data, we need to calculate two things: The principal amount (initial deposit) The annual rate of […]

A sum of money is deposited by Krishna which compounds interest annually. The amount at the end of 2 years is Rs. 5000 and at the end of 3 years is 5200. Find the money deposited and the rate of interest. Read More »

A stereo manufacturer determines that in order to sell x units of a new stereo, the price per unit, in rupees, must be p(x) = 1000 – x . The manufacturer also determines that the total cost of producing x units is given by C(x) = 3000+ 20x. a) Find the total revenue R(x). b) Find the total profit P(x). c) How many units must the manufacturer produce and sell in order to maximise profit? d) What is the maximum profit? e) What price per unit must be charged in order to make this maximum profit?

Leave a Comment / BCOC – 134 /

Introduction This question is based on concepts from business mathematics involving revenue, cost, and profit functions. We are given a pricing function and a cost function. We need to calculate the total revenue, total profit, and then determine the optimal number of units to maximize profit along with the corresponding maximum profit and the price

A stereo manufacturer determines that in order to sell x units of a new stereo, the price per unit, in rupees, must be p(x) = 1000 – x . The manufacturer also determines that the total cost of producing x units is given by C(x) = 3000+ 20x. a) Find the total revenue R(x). b) Find the total profit P(x). c) How many units must the manufacturer produce and sell in order to maximise profit? d) What is the maximum profit? e) What price per unit must be charged in order to make this maximum profit? Read More »

A shopkeeper charges Rs. 25 per item for buying 20 or less items. He gives some rebate if items bought are more. If the items bought are 50 or less, then a rebate of Re. 1 per item and for purchase of more than 50 items, rebate of Rs. 2 per item. Find the cost function. What are the points at which this is not continuous?

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Introduction In business mathematics, cost functions help us understand how pricing changes based on the number of units sold or purchased. In this question, we are given a tiered pricing scheme by a shopkeeper. The task is to derive a cost function that accurately models the total cost based on the quantity of items purchased

A shopkeeper charges Rs. 25 per item for buying 20 or less items. He gives some rebate if items bought are more. If the items bought are 50 or less, then a rebate of Re. 1 per item and for purchase of more than 50 items, rebate of Rs. 2 per item. Find the cost function. What are the points at which this is not continuous? Read More »

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