A manufacturer of video games sells each copy for $21.12. The manufacturing cost of each copy is $14.55. Monthly fixed costs are $8500. During the first month of sales of a new game, how many copies must be sold in order for the manufacturer to break even (that is, in order for the total revenue to equal the total cost)?

A$100 million interest rate swap has a remaining life of 10 months. under the terms of the swap, the six-month libor is exchanged semi-annually for 12% per annum. the six-month libor rate in swaps of all maturities is currently 10% per annum with continuous compounding. the six-month libor rate was 9.6% per annum two months ago. what is the current value of the swap to the party paying floating? what is its value to the party paying fixed?