Profits for a box of deluxe crackers are $.40; and for a box of classic crackers, $.50. what is the objective function?
a) $.20d + $.30c = z
b) $.10d + $.20c = z
c) $.60d + $.80c = z
d) $.40d + $.50c = z
e) $.50d + $.40c = z

D) $.40D + $.50C = Z

Explanation:

The function which is desired to be maximised or minimised is called objective function in the linear programming.

It is denoted by 'Z'.

Here, we have given,

Profit in each box of Deluxe crackers is $0.40.

Let D be the number of Deluxe crackers boxes,

So, the total profit in Deluxe crackers = 0.40D,

Also, the profit in each box of  Classic crackers is $0.50.

Let C be the number of Classic crackers boxes,

So, the total profit in Deluxe crackers = 0.50C,

Thus, the final profit = 0.40D + 0.50C,

∵ Total profit would be maximise and minimise,

Hence, the required objective function,

Z = 0.40D + 0.50C

i.e. OPTION D is correct.