Question

Jill is making picnic baskets at a craft fair. The cost of making the baskets is $20 for supplies and $ 8.50 per basket , She sells them for $12 each. Write and solve the inequality to find the number of picnic baskets she must sell to make a profit.​

Answer 1

To find the number of picnic baskets Jill must sell to make a profit, set up and solve an inequality: 12x > 20 + 8.50x. Jill must sell at least 6 picnic baskets to make a profit.

Step-by-step explanation:

To find the number of picnic baskets Jill must sell to make a profit, we need to set up an inequality. Let x represent the number of picnic baskets sold.

The total cost of making the picnic baskets is $20 for supplies plus $8.50 per basket, so the total cost is 20 + 8.50x.

The revenue from selling x picnic baskets is $12 per basket, so the total revenue is 12x.

To make a profit, the total revenue must be greater than the total cost. Therefore, we can write the inequality as:

12x > 20 + 8.50x

Now, we can solve for x:

12x - 8.50x > 20
3.50x > 20
x > 20/3.50
x > 5.71

Jill must sell more than 5.71 picnic baskets to make a profit. Since we can't sell a fraction of a basket, Jill would need to sell at least 6 picnic baskets to make a profit.