Let the sale of hand cover edition be ‘h’ and that of paperback editions be ‘t’.
SP of a hard cover edition of the textbook = Rs 72
SP of a paperback edition of the textbook = Rs 40
Cost to the publisher for hard cover edition = Rs 56
Cost to the publisher for a paperback edition = Rs 28
Weekly cost to the publisher = Rs 9600
Profit to be maximized, Z = (72 - 56)h + (40 - 28)t – 9600
Z = 16h + 12t - 9600
5(h + t) ≤ 4800
10h + 2t ≤ 4800.
The corner Points are O(0, 0), B1(0, 960), (360, 600) and F1(480, 00).
The values of Z at these corner points are as follows:
The maximum value of Z is 3360 which is attained at E1(360, 600).
The maximum profit is 3360 which is obtained by selling 360 copies of hardcover edition and 600 copies paperback edition.