William opened two investment accounts. the first year, these investments, which totaled $1800, yielded $105 in simple interest. part of the money was invested at 6.5% and the rest at 5%. how much was invested at each rate?

Match the given situations to the type of risks that a business may face while taking credit. 1. beta ltd. had taken a loan from a bank for a period of 15 years, but its sales are gradually showing a decline. 2. alpha ltd. has taken a loan for increasing its production and sales, but it has not conducted any research before making this decision. 3. delphi ltd. has an overseas client. the economy of the client’s country is going through severe recession. 4. delphi ltd. has taken a short-term loan from the bank, but its supply chain logistics are not in place. a. foreign exchange risk b. operational risk c. term of loan risk d. revenue projections risk

Suppose there are three types of consumers who attend concerts at your university’s performing arts center: students, staff, and faculty. each of these groups has a different willingness to pay for tickets; within each group, willingness to pay is identical. there is a fixed cost of $1,000 to put on a concert, but there are essentially no variable costs. for each concert: i. there are 140 students willing to pay $20. (ii) there are 200 staff members willing to pay $35. (iii) there are 100 faculty members willing to pay $50. a) if the performing arts center can charge only one price, what price should it charge? what are profits at this price? b) if the performing arts center can price discriminate and charge two prices, one for students and another for faculty/staff, what are its profits? c) if the performing arts center can perfectly price discriminate and charge students, staff, and faculty three separate prices, what are its profits?

Afirm plans to begin production of a new small appliance. the manager must decide whether to purchase the motors for the appliance from a vendor at $10 each or to produce them in-house. either of two processes could be used for in-house production; process a would have an annual fixed cost of $200,000 and a variable cost of $7 per unit, and process b would have an annual fixed cost of $175,000 and a variable cost of $8 per unit. determine the range of annual volume for which each of the alternatives would be best. (round your first answer to the nearest whole number. include the indifference value itself in this answer.)