Two tailors P and Q earn ₹350 and ₹450 per day respectively. Tailor P can stitch 6 shirts and 3 trousers while tailor Q can stitch 7 shirts and 3 trousers per day. How many days should each of them work, if it is desired to produce at least 51 shirts and 24 trousers at a minimum labour cost?
Answers
Answer:
P need to work 5 days & Q need to work 3 days to have minimum labour cost
Step-by-step explanation:
Two tailors P and Q earn ₹350 and ₹450 per day respectively. Tailor P can stitch 6 shirts and 3 trousers while tailor Q can stitch 7 shirts and 3 trousers per day. How many days should each of them work, if it is desired to produce at least 51 shirts and 24 trousers at a minimum labour cost?
P - 6 S + 3T
Q - 7S + 3T
at least 51 shirts and 24 trousers so below are the cases
P Q Shirts & trousers Cost
9 0 54 & 27 Rs 3150
8 1 55 & 27 Rs 3250
7 2 56 & 27 Rs 3350
6 3 57 & 27 Rs 3450
5 3 51 & 24 Rs 3100
4 4 52 & 24 Rs 3200
3 5 53 & 24 Rs 3300
2 6 54 & 24 Rs 3400
1 7 55 & 24 Rs 3500
0 8 56 & 24 Rs 3600
We can see that minimum labour cost = Rs 3100
P need to work 5 days & Q need to work 3 days to have minimum labour cost