For celebration of his birthday Ram goes to purchase sweets. He needs to buy a minimum of 300 pieces of rasgulla and 150 pieces of cream roll. Only pre-packed packets are available in the shop for these two items. These are economy pack & premium pack. Economy pack has 4 rasgulla and 1 cream roll costing ` 25/- per pack and premium pack had 10 rasgulla and 7 cream roll costing ` 75/- per packet. If he has to meet his requirement with the premium and economy packs, what is the minimum expenditure he has to incur?
Answers
Answer:
Rs 2100
Step-by-step explanation:
Economy pack has 4 rasgulla and 1 cream roll costing ` 25/- per pack and premium pack had 10 rasgulla and 7 cream roll costing ` 75/- per packet.
He needs to buy a minimum of 300 pieces of rasgulla and 150 pieces of cream roll.
Let say He buys E Economy Packs & P Premium Packs
Cost = 25E + 75P = 25(E + 3P)
Rasugullas = 4E + 10P
Cream rolls = E + 7P
4E + 10P ≥ 300
2E + 5P ≥ 150
E + 7P ≥ 150
E P Cost Rasgullas Cream roll
25(E + 3P) 4E + 10P E + 7P
25 20 2125 300 165
28 19 2125 302 161
30 18 2100 300 156
33 17 2100 302 152
38 16 2150 312 150
45 15 2250 330 150
Minimum expenditure to be done is Rs 2100
Either he can buy 30 Economy & 18 Premium packs
or 33 Economy & 17 Premium Packs