Annie's pretzels makes regarding 200 pretzels per day. Demand for Annie's pretzels varies but is primarily stable. Annie's supposes that the business follows normal distribution with mean 190 pretzels and standard deviation of 8 pretzels.
a. In that condition, compute the probability that Annie's runs out of pretzels on any day of the week?
b. If the production cost of pretzel is $1.10 per pretzel, how much production cost is wasted on an average day due to unsold pretzels?
c. How many pretzels should Annie's produce every day so that the probability of running out of pretzels is .01?
d. What is the largest number of pretzels Annie's can make every day to arrive at a probability she will have pretzels left is only .01?
e. If a pretzel sells for $2.99 and Annie's defines profit as selling price minus his production cost, how much profit is left over on an average day if Annie's makes the number of pretzels in your answer above?