Question

Each week a soft drink machine sells x cans of soda for $0.75/soda. The cost to the owner of the soda machine for each soda is $0.10. The weekly fixed cost for maintaining the soda machine is $25/week. Write an equation that relates the weekly profit, P, in dollars to the number of cans sold each week. Then use the equation to find the weekly profit when 92 cans of soda are sold in a week.

Answer 1

$34.8

Step-by-step explanation:

Profits = sales - costs( variable costs +fixed costs)

In this case : total sales will be price $0.75 x units sold X= 0.75X

Variable costs : =$10 x units sold= $10x

Fixed cost remain $25 as they are not affected by quantity.

profits for the Week

P= (0.75x- 0.10x)-$25

Profit for the week with units sold as 92: x = 92

p= ( {0.75x92} - {0.10x92} )- $25

P= $69 - $9.2- $25

P=$59.8- $25

=$34.8