Newton's bagels and johnny's bagels are deciding whether to build a new store, expand by adding space, or leave operations as they are. their payoff matrix (with amounts listed in dollars of profit per day):

Calvin works at a facility which processes apples. it costs the facility $0.68 to make either a jar of applesauce or a bottle of apple juice. due to the nature of the process and contractual agreements, calvin's facility must make and sell three jars of applesauce for every two bottles of apple juice. a jar of applesauce sells for $2.20, and a bottle of apple juice sells for $3.15. if the facility has annual overhead costs of $368,500, not including production costs, how many bottles of apple juice will the facility have sold when it breaks even every year? round to the nearest whole bottle, if necessary.

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.

Advanced enterprises reports year-end information from 2018 as follows: sales (160,250 units) $968,000 cost of goods sold 641,000 gross margin 327,000 operating expenses 263,000 operating income $64,000 advanced is developing the 2019 budget. in 2019 the company would like to increase selling prices by 14.5%, and as a result expects a decrease in sales volume of 9%. all other operating expenses are expected to remain constant. assume that cost of goods sold is a variable cost and that operating expenses are a fixed cost. should advanced increase the selling price in 2019?