1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# One unit of product P1 requires 3 kg of resource R1 and 1 kg resource R2. One unit of product P2 requires 2 kg of resource R1 and 2 kg of resource R2. The profits per unit by selling product P1 and P2 and Rs. 2000 and Rs. 3000 respectively. The manufacturer has 90 kg of resource R1 and 100 kg of resource R2. The manufacturer can make a maximum profit of Rs.

A
200000
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
B
135000
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
60000
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
D
150000
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is B 135000For product: P1=3 kg of R1 and 1 kg of R2 is required. For product: P2=2 kg of R1 and 2 kg of R2 is required. Profit by selling P1=Rs. 2000 Profit by selling P2=Rs. 3000 R1=90 kg R2=100 kg Maximum profit, Z=2000 P1+3000 P2 Subjected to: 3P1+2P2≤90 P1+2P2≤100 Hence, resource R2 is redundant. Profit, Z(30, 0)=2000×30+3000×0=Rs. 60000 Z(0, 45)=2000×0+3000×45=Rs. 135000

Suggest Corrections
1
Join BYJU'S Learning Program
Related Videos
The Monopolist's Problem
ECONOMICS
Watch in App
Explore more
Join BYJU'S Learning Program