Question

100 POINTS. ANSWERER GETS BRAINLIEST

A dance team plans to make and sell caramel and cheddar popcorn for a fundraiser. To maximize the profit, the team captain created the feasible region below based on constraints due to the resources the team had available.

Let x represent the number of caramel popcorn bags and let y represent the number of cheddar popcorn bags. The dance team will earn a profit of $1.00 for every caramel popcorn bag they sell and $2.50 for every cheddar popcorn bag they sell.

Answer 1

Answer:

(0,80),(30,80),(0,20),(90,20),(90,40)

Step-by-step explanation:

A vertex (plural vertices) can be found by locating the points on a polygon.

Answer 2

Answer:

30 caramel popcorn bags and 80 cheddar popcorn bags

Step-by-step explanation:

From the graph of the number cheddar popcorn, Y to the number of the caramel popcorn, X, the shaded region of the graph which is the feasible region has a solution at the value Y = 80 and X = 30 and another at the value Y = 40 and X = 90

Therefore, when the team makes 80 bags of cheddar popcorn and 30 bags of caramel popcorn, we have;

2.5 × 80 + 1 × 30 = $230

When the team makes 40 bags of cheddar popcorn and 90 bags of caramel popcorn, we have;

2.5 × 40 + 1 × 90 = $190

Therefore, the team should make 30 caramel popcorn bags and 80 cheddar popcorn bags.