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.

Business plan: restrictions

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


Business Plan: Profits

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.

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