You own a company that makes organs and pianos. Each week you make at least 6 organs and at least 4 pianos. You company can make at most 16 of the instruments in a week. The profit on a piano is $40 and on an organ it is $30. You wish to maximize profit.

The objective function for this situation is P = 30x + 40y. What (x, y) pair maximizes profit
image

(12, 4)

(16, 0)

(6, 4)

(6, 10)

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y > 2x + 3y is less than negative 3 over 2 times x minus 4part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points)part b: is the point (â’4, 6) included in the solution area for the system? justify your answer mathematically. (4 points)