There will be a surplus of a product when a. price is below the equilibrium level. b. the supply curve is downward sloping and the demand curve is upward sloping. c. the demand and supply curves fail to intersect. d. consumers want to buy less than producers offer for sale.

The monthly sales for yazici​ batteries, inc., were as​ follows: month jan feb mar apr may jun jul aug sept oct nov dec sales 19 20 17 12 11 18 16 17 19 22 21 24 this exercise contains only parts b and c. ​b) the forecast for the next month​ (jan) using the naive method​ = nothing sales ​(round your response to a whole​ number). the forecast for the next period​ (jan) using a​ 3-month moving average approach​ = nothing sales ​(round your response to two decimal​ places). the forecast for the next period​ (jan) using a​ 6-month weighted average with weights of 0.10​, 0.10​, 0.10​, 0.20​, 0.20​, and 0.30​, where the heaviest weights are applied to the most recent month​ = nothing sales ​(round your response to one decimal​ place). using exponential smoothing with alpha ​= 0.40 and a september forecast of 21.00​, the forecast for the next period​ (jan) = nothing sales ​(round your response to two decimal​ places). using a method of trend​ projection, the forecast for the next month​ (jan) = nothing sales ​(round your response to two decimal​ places). ​c) the method that can be used for making a forecast for the month of march is ▾ a 3-month moving average a 6-month weighted moving average exponential smoothing the naive method a trend projection .

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.

Lusk corporation produces and sells 14,300 units of product x each month. the selling price of product x is $25 per unit, and variable expenses are $19 per unit. a study has been made concerning whether product x should be discontinued. the study shows that $72,000 of the $102,000 in monthly fixed expenses charged to product x would not be avoidable even if the product was discontinued. if product x is discontinued, the annual financial advantage (disadvantage) for the company of eliminating this product should be: