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A manufacturing company produces two types of cell phones, Android and iOS. The company has…
A manufacturing company produces two types of cell phones, Android and iOS.
The company has resources to make at the most 300 sets a week. It takes ₹ 1800 to make an Android set and ₹ 2700 to make an iOS set. The company cannot spend more than ₹ 648000 a week to make cell phones. The company makes a profit of ₹ 510 per Android and ₹ 675 per iOS set. If $x$ and $y$ denote, respectively, the number of Android sets and iOS sets made each week, then formulate this problem as a Linear Programming Problem (LPP) given that the objective is to maximize the profit. Based on it, answer the questions that follow.
(a)
What will be the maximum profit function on $x$ and $y$ sets? (write your objective based on the above data).
(b)
What will be the values of your objective function in the feasible region? (at corner points)
(c)
At what point the maximum profit will occur?
(d)
What’s the weekly cost (in ₹) of manufacturing the sets?
Answer
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From ISC 2025 Practice Mathematics, question 124.