Question

4. The celluloid bakery sells two types of cinnamon buns. They must sell at least 35 and not more than 95 cinnamon

strawberry raisin buns per day. Each day the number of cinnamon strawberry raisin buns cannot exceed twice the number of cinnamon chocolate mango buns baked. The number of cinnamon strawberry raisin buns cannot exceed 125 per day. If xis the number of cinnamon strawberry raisin buns baked daily and y is the number of cinnamon chocolate mango buns baked daily. What are the constraints.

Answer 1

Answer: 35≤ x ≤95

x ≤ 2y

y≤125

Explanation:

In an optimization problem, a constraint is a condition with variables that the solution must meet.

Let x = Number of cinnamon strawberry raisin buns.

y = Number of cinnamon chocolate mango buns baked.

"at least 35 and not more than 95 cinnamon strawberry raisin buns per day."

⇒ 35≤ x ≤95

"cinnamon strawberry raisin buns cannot exceed twice the number of cinnamon chocolate mango buns baked."

⇒ x ≤ 2y

" cinnamon strawberry raisin buns cannot exceed 125 per day"

⇒ y≤125

Hence, the constraints are:

35≤ x ≤95

x ≤ 2y

y≤125