# Lotions and Potions

### Magically Soft

By: Hadei Witthar

Lotions and Potions has many types of lotions and body products. Our goal is to make your skin soft and smelling great! Our main Lotion is RazKiss and we have a very popular lip balm called MelonBerry.

Every RazKiss costs $4 to make and the store price is $9.00

Every MelonBerry costs $1 and the store price is $6.00

Over the corse of a year, I would like to spend no more than $830 every month on the products. In addition to this, I do not want to spend more than 80% on one of the two products.

4x+y= Cost

9x+6y= Sale

5x+5y= Profit

x __>__ 0

y __>__ 0

4x+y__<__830

x __<__ 664

y __< __ 664

Profit = $5x + $5y

(0, 0) P = 5 (0) + 5(0) = $0

(50, 200) P = 5(207.5) + 5(0) = $1037.50

(41.5,664) P = 5 (41.5) + 5(664) = $3527.50

(0,664) P = 5 (0) + 5(664) = $3320

I will maximize my profits each month if I produce 41 bottles of RazKiss and 664 sticks of MelonBerry lip balm.