Carrie is considering three different types of materials for her chairs. Depending on the price she sets for each chair, the costs and revenues for each type of material will generate different costs and revenues for her business.

In the functions in the table,xis the price of each chair. The functions give the revenue (R) and costs (C) that Carrie's business can expect in a year at a given price for the item. Use graphing tools to examine the graphs for each set of equations. Then select the correct answer from eachdrop-downmenu.

Material 1: R(x) = 200,000x- 2,000x2; C(x) = 5,000,000- 20,000x

Material 2: R(x) = 160,000x- 1,000x2; C(x) = 4,000,000- 10,000x

Material 3: R(x) = 54,000x- 270x2; C(x) = 2,000,000- 5,000x

Material2 can deliver the highest profit of about $3,225,000 and Material1 earns profit for the widest range of prices.

So Based on the results from part C, which two statements correctly interpret actions the business should take?

• If material 2 is used, Carrie will earn a profit if she sells chairs for more than $150 each.
• If material 1 is used, Carrie will earn a profit if she sells chairs for lower than $50 each.
• If material 3 is used, Carrie will earn a profit if she sells chairs between $45 and $160 each.
• If material 2 is used, Carrie will earn a profit if she sells chairs between $30 and $120 each.
• If material 1 is used, Carrie will earn a profit if she sells chairs between $40 and $70 each.