Shyam’s stall was becoming popular by the day. Now he gets 5 customers every 10 minutes. After buying a second oven, he employed a helping hand, Aman at ₹100 for two hours. Aman can cook one handi of sabji in 20 minutes or can prepare 3 plates of puri in 10 minutes. Reheat time for sabji is 10 minutes. None of them can work on both the ovens simultaneously.Which of the following options will help Shyam maximize his daily profit, if he does NOT bring sabji from home?
Explanation:
Option 2: If Shyam prepares only puris, then at the end of every 10 minutes from 7:20, he will be able to serve 2 customers. So, he can start making puris from 7:05 and serve 22 customers. So, profit by selling puri-sabji = 22 × 15 – 100(Aman’s charges) = 330 – 100 = 230
Option 3: If Aman prepares only puris, he will be able to prepare 3 plates in 10 minutes. As Shyam’s sabji will be ready only at 7:30. So, Aman can start making puris from 7:15. Till 8:55, Aman makes 10 plates of puris. So, Shyam can serve 30 customers. So, profit by selling puri-sabji = 30 × 15 – 100(Aman’s charges) = 450 – 100 = 350
Option 4: Aman prepares first Handi on one oven in first 20 minutes and in first 25 minutes, Shyam will prepare 4 puri plates starting from 7:05. So at the end of 7:25, 4 puri-sabji plates can be served After that Shyam prepares another Handi till 7:55 and Aman prepares 9 plates of puri till 7:50 So, at the end of 7:55, 9 more puri plates can be served. Note that 11 plates of sabji from Handi 2 is remaining. Shyam will prepare 2 puri plates from 7:55 to 8:05 and then start with Handi 3 till 8:35 Aman will continue with preparing puri plates from 7:50. Till 8:30, He makes 12 more puri plates. So at the end of 8 : 35, 2 + 12 = 14 puri plates can be served. Note that 9 plates of sabji from Handi 3 is still remaining. This sabji will be hot till 9:00(in fact 9:05) After 8:30, Aman will continue with Puris and Shyam also will start with puris. But only 9 more plates can be served. Thus, Shyam can serve 4 + 9 + 14 + 9 = 36 plates of puri-sabji. So, profit by selling puri-sabji = 36 × 15 – 100(Aman’s charges) = 540 – 100 = 440 In previous solution, we have seen that Shyam can make a profit of Rs. 280. So, his profit will increase after appointing Aman. Hence, option (d).
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