The Rejuvo Corp. manufactures granite countertop cleaner and polish. Quarterly sales Q is a random variable with a mean of 25,000 bottles and a standard deviation of 2,000 bottles. Variable cost is $8 per unit and fixed cost is $150,000. (a) Find the mean and standard deviation of Rejuvo’s total cost. Mean $ Standard deviation $ (b-1) If all bottles are sold, what would the selling price have to be to break even, on average? Selling price $ (b-2) If all bottles are sold, what would the selling price have to be to make a profit of $20,000? (Round your answer to 2 decimal places.) Selling price $

Suppose that the free states of eldricia, a small nation, has consumption, investment, government purchases, imports, and exports as follows. consumption $140 investment $50 government purchases $45 imports $30 exports $15 calculate the free states of eldricia's gdp

Shelby company produces three products: product x, product y, and product z. data concerning the three products follow (per unit): product x product y product z selling price $ 85 $ 65 $ 75 variable expenses: direct materials 25.50 19.50 5.25 labor and overhead 25.50 29.25 47.25 total variable expenses 51.00 48.75 52.50 contribution margin $ 34.00 $ 16.25 $ 22.50 contribution margin ratio 40 % 25 % 30 % demand for the company’s products is very strong, with far more orders each month than the company can produce with the available raw materials. the same material is used in each product. the material costs $8 per pound, with a maximum of 4,400 pounds available each month. required: a. compute contribution margin per pound of materials used. (round your intermediate calculations and final answers to 2 decimal places.) contribution margin per pound product x $ product y $ product z $ b. which orders would you advise the company to accept first, those for product x, for product y, or for product z? which orders second? third? product x product y product z

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.