Solve this problem using linear programming. graph the system of constraints: x≤5, y≤(1/5)x + 7, x≥0, y≥0, showing the correct lines and shaded region. list all vertices and evaluate the objective function p at each vertex: p = 6x + 7y - 2. report the maximum p value, as well as the location where it occurs, (x, y).

Question 3 (essay worth 10 points) (03.06 mc) part a: max rented a motorbike at $465 for 5 days. if he rents the same motorbike for a week, he has to pay a total rent of $625. write an equation in the standard form to represent the total rent (y) that max has to pay for renting the motorbike for x days. (4 points) part b: write the equation obtained in part a using function notation. (2 points) part c: describe the steps to graph the equation obtained above on the coordinate axes. mention the labels on the axes and the intervals. (4 points)