I need help with this problem and the parts with it.

3. To manufacture an automobile requires painting, drying, and polishing. Mega Motor Company produces three types of cars. The required painting, drying and polishing times for each type of car are shown in the table below. If the company has 240 hours for painting, 69 hours for drying, and 41 hours for polishing per month, how many of each type of car are produced per month? Type 1 Car Type 2 Car Type 3 Car Hours for Painting 10 16 8 Hours for Drying 3 5 NN Hours for Polishing 3 a. Clearly define the variables in this problem: X= b. Write the equations for this problem. c. Solve the system of equations using using the inverse matrix. For each create the matrix equation in the form A X = B. Show steps in solving the matrix equation, including A" (inverse of the A matrix) IN FRACTIONAL FORM. Clearly show the final solution matrix. d. State your solution in terms of the