Question: please help! Find two positive numbers whose sum is 210 and whose product is a maximum. (a) Analytically complete six rows of a table such

please help!

Find two positive numbers whose sum is 210 and whose product is a maximum. (a) Analytically complete six rows of a table such as the one below. (The first two rows are shown.) First Second Number, x Number Product, P 210 - 60 60(210 - 60) = 9,000 R 210 - 70 70(210 - 70) = 9,800 80 210 - 80 80(210 - 80) = 90 210 -90 90(210 - 90) = 100 210 - 100 100(210 - 100) = 110 210 - 110 110(210 - 110) = (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). Then find the two numbers. (Enter your answers as a comma-separated list.)

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