Detailed solution thankyou!

3. Nana sells homemade hand sanitizers at a price of 75 pesos per bottle. Suppose r bottles of sanitizer are produced each day and C(x) pesos is her daily cost, and C(x) = x2 + 25x + 100. a. Find Nana's marginal profit function. Note: Marginal profit is the increase in profit that results from the production and sale of one additional unit of output. (3 points) b. Find the number of bottles of homemade hand sanitizer sold if Nana has a marginal profit of 20 dollars. (2 points)6. Hu Tao has 420 feet of fencing material and uses it to start a kernel by building 5 identical adjacent rectangular runs. He wants to maximize the area of each run. Use the Extreme Value Theorem to determine the maximum area of each run. (5 points ) X