You operate a small wooden toy company making two products: alphabet blocks and wooden trucks. Your profit is $30.00 per box of blocks and $40.00 per box of trucks. Producing a box of blocks requires one hour of woodworking and two hours of painting; producing a box of trucks takes three hours of woodworking, but only one hour of painting. You employ three woodworkers and two painters, each working 40 hours a week. Required:
How many boxes of blocks (B) and trucks ( T) should you make each week to maximize profit? Solve graphically as a linear program and confirm analytically?

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.

The lee family is looking to buy a house in one of two suburban areas just outside of a major city, and air quality is a top priority for them. overall air quality is calculated by taking measures in 100 locations within each suburb and then calculating a measure of central tendency. in one suburb, there is a major bus station that creates very poor air quality at its location but has no impact in the surrounding parts of the suburb. in this situation, which measure of overall suburb air quality would be most useful?

Wilson center is a private not-for-profit voluntary health and welfare entity. during 2017, it received unrestricted pledges of $638,000, 65 percent of which were payable in 2017, with the remainder payable in 2018 (for use in 2018). officials estimate that 14 percent of all pledges will be uncollectible. a. how much should wilson center report as contribution revenue for 2017? b. in addition, a local social worker, earning $20 per hour working for the state government, contributed 600 hours of time to wilson center at no charge. without these donated services, the organization would have hired an additional staff person. how should wilson center record the contributed service?