# S Jewelers

### Sierra Harding

In my business, S jewelers, I will sell grade "A" bracelets and necklaces. We find the finest jewelry to bring to you.

I have \$10,000To start my business. The only restriction that I have is that I can not spend more than 3/4's of it on the production of one of the products.

Restrictions: System of Inequalities.

y≤ -3/5x+200

y≤150

x≤250

y≥0

x≥0

Business Plan: costs & selling prices

Bracelets cost \$30 for me to produce and I sell them for \$50

Necklaces cost \$50 for me to produce and I sell them for \$100

My profits will be the money made at my selling price minus the costs.

x=# of bracelets ; y = # of necklaces

Cost = \$30x + \$5oy

Sell = \$50x + \$100y

Profit = sell – cost

P = (50x + 100y) – (30x + 50y)

Maximize Profits

(80,150) P = 50 (80) + 100(150) = 19000

(250,50) P = 50(250) + 100(50) = 1750

(0, 0) P = 50 (0) + 100(0) = \$0

I will maximize my profits, following the restriction that I can not spend 3/4's of my money on the production of one product, if I produce 80 bracelets and 150 necklaces.