The owner of crackers, inc. produces both deluxe (d) and classic (c) crackers. she only has 4,800 ounces of sugar, 9,600 ounces of flour, and 2,000 ounces of salt for her next production run. a box of deluxe crackers requires 2 ounces of sugar, 6 ounces of flour, and 1 ounce of salt to produce. a box of classic crackers requires 3 ounces of sugar, 8 ounces of flour, and 2 ounces of salt to produce. profits are 40 cents for a box of deluxe crackers and 50 cents for a box of classic crackers. what is the objective function?

For this case, the first thing we are going to do is define variables:
 d: deluxe crackers
 c: classic crackers
 x: ounces of sugar
 y: ounces of flour
 z: ounces of salt
 The obtetive function is to maximize the production:
 [tex] z = 0.40d + 0.50c [/tex]
 It is subject to the following restrictions:
 ounces of sugar:
 [tex] 2x + 3x \leq 4800 [/tex]
 ounces of flour:
 [tex] 6y + 8y \leq 9600 [/tex]
 ounces of salt:
 [tex] z + 2z \leq 2000 [/tex]
 Answer:
 the objective function is:
 maximize production:
 [tex] z = 0.40d + 0.50c[/tex]