DO NOW: Copy down your homework: Finish lesson 2-1 & 2-2 Practice Formula quiz tomorrow!!! Warm-Up: Solve the following two-step equations and justify each step.
Steps Property/explanation
Steps Property/explanation
Q UIZ T IME !!! Solving two step equations
B REAK - EVEN PROBLEMS Mini-lesson
BREAK-EVEN PROBLEMS Break-even point – the point at which the income (revenue) of a business equals the expenses (cost) Equation for cost = equation for revenue
B REAK - EVEN #1 Suppose you have a typing service. You buy a personal computer for $1400 on which to do your typing. You charge $5.70 per page for typing. You must pay $0.70 per page for ink, paper, electricity, and other expenses. How many pages must you type to break even? 280 pages
P ROFIT (T HE $$$ YOU KEEP !) If you typed 500 pages, what would your profit be? To find out, use the equation below: Profit = revenue – cost
B REAK - EVEN #2 Amber decided to sell necklaces she made. She bought a large kit of multi-colored beads and necklace fasteners for $49.00 and her other materials cost $3.00 per necklace. She sold the necklaces for $10.00 each. How many necklaces will she have to sell to break even? 7 necklaces
P ROFIT (T HE $$$ YOU KEEP !) If she sold 15 necklaces, what would her profit be? To find out, use the equation below: Profit = revenue – cost
B REAK - EVEN #3 It costs The Acme Widget Company $100 to rent a space for their business plus $2.00 for the material and labor per widget. If the widget is sold for $4.00, now many widgets must be sold to break even? 50 widgets
P ROFIT (T HE $$$ YOU KEEP !) If you sold 75 widgets, what would your profit be? To find out, use the equation below: Profit = revenue – cost
B REAK - EVEN #4 Suppose you are starting an office-cleaning service. You have spent $315 on equipment. To clean an office, you use $4 worth of supplies. You charge $25 per office. How many offices must you clean to break even? 15 offices
P ROFIT (T HE $$$ YOU KEEP !) If you cleaned 18 offices, what would your profit be? To find out, use the equation below: Profit = revenue – cost
B REAK - EVEN #5 Suppose you invest $1500 in equipment to put pictures on T-shirts. You buy each T- shirt for $3. After you have placed the picture on a shirt, you sell it for $20. How many T- shirts must you sell to break even? 89 T-shirts
P ROFIT (T HE $$$ YOU KEEP !) If you sold 100 shirts, what would your profit be? To find out, use the equation below: Profit = revenue – cost