Decision variables a. represent the values of the constraints. b. are values that are used to determine how much or how many of something to produce, invest, etc. c. must be unique for each constraint. d. are values that measure the objective function.

After hearing a knock at your front door, you are surprised to see the prize patrol from a large, well-known magazine subscription company. it has arrived with the good news that you are the big winner, having won $21 million. you have three options.(a) receive $1.05 million per year for the next 20 years.(b) have $8.25 million today.(c) have $2.25 million today and receive $750,000 for each of the next 20 years.your financial adviser tells you that it is reasonable to expect to earn 13 percent on investments.

Rolston music company is considering the sale of a new sound board used in recording studios. the new board would sell for $27,200, and the company expects to sell 1,570 per year. the company currently sells 2,070 units of its existing model per year. if the new model is introduced, sales of the existing model will fall to 1,890 units per year. the old board retails for $23,100. variable costs are 57 percent of sales, depreciation on the equipment to produce the new board will be $1,520,000 per year, and fixed costs are $1,420,000 per year.if the tax rate is 35 percent, what is the annual ocf for the project?

Me with this asap. i will give 100 points and brainliest. part one of three (total of 100 points) how do gross national product (gnp) and gross domestic product (gdp) differ? while gnp includes investments as well as production of goods and services, gdp only includes production of goods and services. while gnp includes production by all people and businesses of a country, gdp only includes production within a country’s borders. while gnp includes production of all goods and services, gdp only includes production of final goods and services. while gnp includes imports and exports of goods and services, gdp only includes the net exports of goods and services. read the scenario. a united states company produces widgets in brazil. which is true about the calculation of widget production? the dollar value of the widgets would not be included in either a gnp or a gdp calculation. the dollar value of the widgets would be included in a gnp calculation. the dollar value of the widgets would be included in both a gnp and a gdp calculation. the dollar value of the widgets would be included in a gdp calculation. read the passage. this is the most widely used measure of inflation and is sometimes viewed as an indicator of the effectiveness of government economic policy. it provides information about price changes in the nation's economy to government, business, labor, and private citizens, and it is used by them to guide economic decisions. what is being described? consumer price index export price index producer price index import price index what is the primary tool used to measure inflation? consumer price index gross domestic product durable goods shipments gross national product how does a rise in life expectancy impact population growth? it slows population growth. it reverses population growth. it does not impact population growth. it increases population growth. why does nominal gross domestic product (gdp) sometimes seem larger than real gdp? real gdp counts only final products, whereas nominal gdp does not. real gdp counts imports, whereas nominal gdp does not. real gdp includes inflation in its calculation, whereas nominal gdp does not. real gdp uses an accurate calculation, whereas nominal gdp does not. why does nominal gross domestic product (gdp) sometimes seem larger than real gdp? real gdp counts only final products, whereas nominal gdp does not. real gdp counts imports, whereas nominal gdp does not. real gdp includes inflation in its calculation, whereas nominal gdp does not. real gdp uses an accurate calculation, whereas nominal gdp does not. what impact can government policies have on the business cycle? policies that lower interest rates may cause an economic contraction. policies that decrease spending may cause an economic expansion. policies that raise interest rates may cause an economic contraction. policies that lower taxes may cause an economic contraction. what is true regarding seasonal unemployment? it is much harder to predict than other types of unemployment. it is likely to last longer than other types of unemployment. it is not as troubling to the government as other types of unemployment. it has negative costs similar to those of other types of unemployment. read the sentence. the cost of lumber has increased 145 percent since last quarter. what is the most likely outcome in the furniture market? the market will see a rapid rise in inflation because inelastic products respond quickly to market forces. the market will see cost-push inflation because the increased cost of inputs force prices higher. the market will see demand-pull inflation because consumers need more of the product. the market will see no inflation because there has not been a change in personal income.