Suppose your total benefit from eating slices of pizza (value in dollars) is 88x−x^2, where x is the number of slices of pizza. Pizza is sold by the slice and costs $22 per slice, and so the total cost of pizza is 22x. Using optimization in levels, what is the optimal amount of pizza for you to eat?

Krier industries has just completed its sales forecasts and its marketing department estimates that the company will sell 43,800 units during the upcoming year. in the past, management has maintained inventories of finished goods at approximately 3 months' sales. however, the estimated inventory at the start of the year of the budget period is only 7,300 units. sales occur evenly throughout the year. what is the estimated production level (units) for the first month of the upcoming budget year?