Solve for a),b), and c) and interpret your answers for a) and b). Explain c). Show your work.

The following contour diagram is for a function P = f(r, L), which gives the monthly payment amount (in $) for a loan of $L at an interest rate of r%. (a) Estimate the value of at the point (7,5000), and interpret your answer in the context ar of this application. Be specific with respect to values and units. (b) Estimate the value of OL at the point (7,5000), and interpret your answer in the context of this application. Be specific with respect to values and units. 22p (c) Is the mixed partial, positive or negative on this surface? Explain. alar loan amount ($) 8.000 7.000 10 6.000 120 5.000 100 4.000 80 3.000 60 2,000 Interest rate%) 1 3 5 7 9 11 13 15 The following contour diagram is for a function P = f(r, L), which gives the monthly payment amount (in $) for a loan of $L at an interest rate of r%. (a) Estimate the value of at the point (7,5000), and interpret your answer in the context ar of this application. Be specific with respect to values and units. (b) Estimate the value of OL at the point (7,5000), and interpret your answer in the context of this application. Be specific with respect to values and units. 22p (c) Is the mixed partial, positive or negative on this surface? Explain. alar loan amount ($) 8.000 7.000 10 6.000 120 5.000 100 4.000 80 3.000 60 2,000 Interest rate%) 1 3 5 7 9 11 13 15