VI Opus Videos and several movie studios have decided to sign a revenue sharing contract for DVDS . Each DVD costs the studio $3 to produce . The DVD will be sold to Opus for $5 . Opus Studios prices the DV DS at $ 18 and forecasts demand to be normally distributed with a mean of 6 000 and a standard deviation of 2 500 . Any unsold DVDS are discounted to $1 50 , and all discounted DVDs will sell at that price . Opus Videos will share 30% of the revenues with the studio , keeping 70% for itself a . How many DVDS should opus Video order b . How many DVDS does Opus Video expect to sell at a discount C . What is the expected profit for Opus Videos ? d . What is the expected profit for the studio