Question

what could be the maximum value of R in the following equation, where P, Q and R represent the unit values 56P+37Q+48R=1418.

Answer 1

Given:

56P+37Q+48R=1418.

To find:

what could be the maximum value of R in the above equation, where P, Q and R represent the unit values

Solution:

56P+37Q+48R=1418.

(500 + 60 + P) + (300 + 70 + Q) + (400 + 80 + R) = 1418

(500 + 300 + 400) + (60 + 70 + 80) + (P + Q + R) = 1418

1200 + 210 + (P + Q + R) = 1418

P + Q + R = 1418 - 1200 - 210

P + Q + R = 8

For the R to have maximum value, the values of P and Q should be minimum

0 + 0 + R = 8

∴ R = 8