The by-product of making soap is which is used in hand lotion, shaving cream, and some over-the-counter preparations. mineral oil resin pepsin glycerin

Galwaysc electronics makes two products. model a requires component a and component c. model b requires component b and component c. new versions of both models are released each year with updated versions of all components. all components are sourced overseas, and abc contracts annually for a quantity of each component before seeing that year’s demand. components are only assembled into finished products once demand for each model is known. for the coming year, alwaysc’s purchasing manner has proposed ordering 500,000 units of component a, 630,000 of component b, and 1,000,000 units of component c. her boss has asked why she has recommended purchasing so much of components a and b when alwaysc will not have enough of component c to fully use all of the inventory of a and b. what factors might the purchasing manager cite to explain her recommended order? explain your reasoning.

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.