1) Solve the following system of linear equations using the substitution method:

3x2y=18

5x+10y=10

Express answer as an ordered pair.

2) A guitar factory has fixed production cost of $50,000 plus $75 for each guitar produced.Its cost of production function can be written asC(x) = 75x + 50,000. The company decides to sell each guitar for $325, so its revenue function can be written as R(x) =325x. How many guitars must the company sell at $325 per guitar in order to "break even"?

3) When hired at a new job selling electronics, you are given two pay options:

• Option A: Base salary of $14,000 a year with a commission of 10% of your sales
• Option B: Base salary of $20,000 a year with a commission of 4% of your sales.

After what amount of your sales (in $) does option A produce a larger paycheck for you?

4) A moving company charges a flat rate of $150, and an additional $5 for each box.A delivery service would charge $20 for each box. After how many boxes would it be cheaper to use the moving company?