"Suppose you are the owner of a small t-shirt printing business. While conducting a cost analysis of your business, you find that at current production levels, your average total cost (ATC) is $10. You also know that if you increase production by one more unit, the marginal cost of that unit will be $5. If you produce another t-shirt" does the avg/marginal cost decrease or increase?

The market price of cheeseburgers in a college town increased recently, and the students in an economics class are debating the cause of the price increase. some students suggest that the price increased because the price of beef, an important ingredient for making cheeseburgers, has increased. other students attribute the increase in the price of cheeseburgers to a recent increase in college student enrollment.1. the first group of students thinks the increase in the price of cheeseburgers is due to the fact that the price of beef, an important ingredient for making cheeseburgers, has increased. (what happened to demand and supply, shift to the right or left)2. the second group of students attributes the increase in the price of cheeseburgers to the increase in college student enrollment. (what happens to demand and supply, shift to the right or left)3. suppose that both of the events you analyzed above are partly responsible for the increase in the price of cheeseburgers. based on your analysis of the explanations offered by the two groups of students, how would you figure out which of the possible causes was the dominant cause of the increase in the price of cheeseburgers? (choose a, b,c, or d)a)if the price increase was small, then the supply shift in the market for cheeseburgers must have been larger than the demand shift.b)if the equilibrium quantity of cheeseburgers decreases, then the demand shift in the market for cheeseburgers must have been larger than the supply shift.c)if the equilibrium quantity of cheeseburgers decreases, then the supply shift in the market for cheeseburgers must have been larger than the demand shift.d)whichever change occurred first must have been the primary cause of the change in the price of cheeseburgers.

Dahlia enterprises needs someone to supply it with 127,000 cartons of machine screws per year to support its manufacturing needs over the next five years, and you’ve decided to bid on the contract. it will cost you $940,000 to install the equipment necessary to start production; you’ll depreciate this cost straight-line to zero over the project’s life. you estimate that in five years, this equipment can be salvaged for $77,000. your fixed production costs will be $332,000 per year, and your variable production costs should be $11.00 per carton. you also need an initial investment in net working capital of $82,000. if your tax rate is 30 percent and your required return is 11 percent on your investment, what bid price should you submit? (do not round intermediate calculations and round your final answer to 2 decimal places. (e.g., 32.16))

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.