13) Maximum Profit (optimizing functions with several variables): A company produces and sells two styles of umbrellas. One style sells for $20 each and the other sells for $25 each. The company has determined that if x thousand of the first style and y thousands of the second style are produces, then the total cost in thousands of dollars is given by the function 3 C(x, y) = 3x² – 3xy + + 32x – 29 y + 70 a. How many of each style of umbrella should the company produce and sell in order to maximize profit? b. What is the maximum profit?

fare) 3X -2y = - -H Normal

Arrange these steps in the correct order to prove that if you have an 8-gallon jug of water and two empty jugs with capacities of 5 gallons and 3 gallons, respectively, then you can measure 4 gallons by successively pouring some of or all of the water in a jug into another jug in the correct order. Rank the options below. Fill the 3-gallon jug from the 5-gallon jug, leaving (3, 2, 3). Empty the 5-gallon jug's contents into the 3-gallon jug, leaving (6, 0, 2), and then fill the 5-gallon jug from the 8-gallon jug, producing (1, 5, 2). Fill the 5-gallon jug from the 8-gallon jug, leaving the contents (3, 5, 0), where the ordered triple is used to record the amount of water in the 8-gallon jug, the 5-gallon jug, and the 3-gallon jug, respectively. Top off the 3-gallon jug from the 5-gallon jug, and there will be (1, 4, 3), with four gallons in the 5-gallon jug. Pour the contents of the 3-gallon jug back into the 8-gallon jug, leaving (6, 2, 0). ❤ ← ←