Amanufacturing company receives orders for engines from two assembly plants. plant i needs at least 45 engines, and plant ii needs at least 32 engines. the company can send at most 120 engines to these assembly plants. it costs $35 per engine to ship to plant i and $50 per engine to ship to plant ii. plant i gives the manufacturing company $20 in rebates toward its products for each engine they buy, while plant ii gives similar $15 rebates. the manufacturer estimates that they need at least $1500 in rebates to cover products they plan to buy from the two plants. how many engines should be shipped to each plant to minimize shipping costs? what is the minimum cost?

The hawthorne works was a large western electric factory with 45,000 employees. during the 1920s and 1930s, hawthorne works was the site of some well-known industrial studies. in one of the studies, researchers investigated the impact of different working conditions on worker productivity. prior to the start of the study, researchers secretly measured workers' productivity for several weeks. then researchers chose two workers, who then chose their own teams. the teams were separated from the general workforce and completed their work in different experiment rooms where the researchers could observe them more easily. over a 5-year period researchers manipulated the structure of the workday for each team (number and duration of breaks and number of hours per shift). for each of these changes in working conditions, the researchers measured the effect on productivity. for some conditions, such as frequent short breaks, workers rebelled by intentionally decreasing productivity. why did the researchers secretly measure the workers' productivity before creating the two treatment groups? a, to create similar treatment groups so that a cause-and-effect relationship could be establishedb, to draw conclusions about the productivity of all workers in the plant based on the test groupsc, to directly control for confounding variablesd, to provide a baseline for measuring worker productivity

Sheldon has the following year-end account balances: accounts receivable, $5,000; supplies, $12,000; equipment, $18,000; accounts payable, $17,000; stockholders’ equity, $43,000. the cash account balance was not available at year-end. given the account balances listed, the balance in the cash account should be?

There are three factors that can affect the shape of the treasury yield curve (r* t , ip t , and mrp t ) and five factors that can affect the shape of the corporate yield curve (r* t , ip t , mrp t , drp t , and lp t ). the yield curve reflects the aggregation of the impacts from these factors. suppose the real risk-free rate and inflation rate are expected to remain at their current levels throughout the foreseeable future. consider all factors that affect the yield curve. then identify which of the following shapes that the us treasury yield curve can take. check all that apply. a. downward-sloping yield curveb. upward-sloping yield curvec. inverted yield curve