Find the optimal solution for the following problem. (Round your answers to 3 decimal places.) Maximize C =8x + 8ysubject to7x + 9y ≤ 16 10x + 10y ≤ 22andx ≥ 0, y ≥ 0. a. What is the optimal value of x? b.What is the optimal value of y? c.What is the maximum value of the objective function?

### a. 2.200 b. 0.000 c. 17.600

## Step1: Identify the constraints### The constraints given are , , , and . These constraints define the feasible region for the problem.## Step2: Determine the objective function### The objective function to maximize is .## Step3: Solve for the optimal solution### By solving the constraints graphically or using a linear programming method, we find the point in the feasible region where the objective function reaches its maximum value.## Step4: Calculate the optimal values### The optimal solution is found to be , , which gives the maximum value of the objective function .