A high school science teacher has 78 students. Of those students, 35 are in the band and 32 are on a sports team. There are 16 students who are not in the band or on a sports team. One student from the 78 students will be selected at random. Let event BB represent the event of selecting a student in the band, and let event SS represent the event of selecting a student on a sports team. Are BB and SS mutually exclusive events?

Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x,y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.

*will mark brainliest! * when a company spends resources (labor, money) to give customers "free" items, those costs are called a. investment costs b. economic costs c. scarcity costs d. opportunity costs answer asap!

The following cost and inventory data are taken from the accounting records of mason company for the year just completed: costs incurred: direct labor cost $ 90,000 purchases of raw materials $ 134,000 manufacturing overhead $ 205,000 advertising expense $ 45,000 sales salaries $ 101,000 depreciation, office equipment $ 225,000 beginning of the year end of the year inventories: raw materials $ 8,100 $ 10,300 work in process $ 5,900 $ 21,000 finished goods $ 77,000 $ 25,800 required: 1. prepare a schedule of cost of goods manufactured. 2. prepare the cost of goods sold section of mason company’s income statement for the year.