1. Can you answer all parts and show work

1. [-/6 Points] DETAILS LARCALCET8 4.7.003. Use the steps below to find two positive numbers whose sum is 130 and whose product is a maximum. (a) Analytically complete six rows of the table below. (The first two rows are shown.) First Second Number, x Number Product, P 20 130 - 20 20(130 - 20) = 2,200 30 130 - 30 30(130 - 30) = 3,000 40 130 - 40 40(130 - 40) = 50 130 -50 50(130 - 50) = 60 130 -60 60(130 - 60) = 70 130 - 70 70(130 - 70) = (b) Write the product P as a function of X. P(X ) = (c) Use calculus to find the critical number of the function in part (b). Use a graphing utility to graph the function and verify the solution from the graph. Find the first and second numbers. (Enter your answers as a comma-separated list.) Need Help? Read It