Chapter 4.7, Problem 318E

In the following exercises, translate to a system of inequalities and solve.

318. Caitlyn sells her drawings at the county fair. She wants to sell at least 60 drawings and has portraits and landscapes. She sells the portraits for $15 and the landscapes for $10. She needs to sell at least $800 worth of drawings in order to earn a profit.

(a) Write a system of inequalities to model this situation.

(b) Graph the system.

(c) Will she make a profit if she sells 20 portraits and 35 landscapes?

(d) Will she make a profit if she sells 50 portraits and 20 landscapes?