Question

X represent the number of caramel popcorn bags and Y represents the number of cheddar popcorn. They earn $1 for every caramel bag they sell and $2.50 for every cheddar popcorn bag they sell. Which represents how many caramel and cheddar popcorn the team should make?
30 caramel popcorn bags and 80 cheddar popcorn bags

40 caramel popcorn bags in 90 cheddar popcorn bags


90 caramel popcorn bags and 40 cheddar popcorn bags

80 Carmel popcorn bags in 30 cheddar popcorn bags

Answer 1

Answer:

The correct option is;

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.