A manufacturing company has $100,000 available to invest. Doctor Goodbuy, the president and CEO of the company, would like to either expand his production, invest the money in stocks, or purchase a certificate of deposit from the bank. Of course, the unknown is whether the economy will continue at a high level or there will be a recession. He estimates the likelihood of a recession at 20%. Whether there is a recession or not, the certificate of deposit will result in a gain of 6 percent. If there is a recession, he predicts a 10 percent loss if he expands production and a 5 percent loss if he invests in stock. If there is not a recession, an expansion of production will result in a 15 percent gain, and stock investment will produce a 12 percent gain (Use only the amount made or lost in the answers).1) Develop a payoff table for the various acts and states of nature.2) Compute the total expected payoff for each alternative.3) Construct an Opportunity Loss Table.4) What is the lowest total expected Opportunity Loss?5) What decision should Doctor Goodbuy make?6) What is the maximum amount that Doctor Goodbuy should pay to a consultant for financial advise for this scenario (in other words, what is the EVPI?)

You and three friends will be going out to eat at your favorite restaurant! each of you will order three items of your choice. you will also need to leave a tip. if you split the bill evenly among all four of you, how much will each person need to contribute? locate a menu for your favorite restaurant and pick three items for yourself and each friend. list the restaurant name, items, and prices in a table like the one below. in the column labeled subtotal, determine the cost of each person’s order. the customary tip is 20% of the total bill. in the column labeled tip, calculate the amount of tip each person should leave. in the column labeled total bill, determine the total of each person’s order, including the tip. restaurant name: names item 1 price item 2 price item 3 price subtotal tip total bill your name friend #1 friend #2 friend #3 part 2: questions answer the following questions, showing all work: what is the total cost of the entire bill (all four meals), including tip? write an expression using fractions to show how to determine the amount that each person will pay. then calculate each person's contributions showing all steps in long division. if each person paid an equal amount, who would save the most money? explain your reasoning using at least two complete sentences.

What is the gcf of 20c^3-5c^4+30c^6

E. which of the following is not a possible probability? a. 25/100 b. 1.25 c. 1 d. 0