The contribution margin equals sales minus all expenses.

Peppy roaney believes that pizza is a much more versatile dish than most people realize. as the national marketing manager for pizza guys, he observed how consumers were delighted with barbecue pizza, hawaiian pizza, mexican pizza and other unique combinations. his suggestions for other unusual pizzas, however, were met with a negative response by his superiors. even some of his colleagues laughed at his ideas. peppy's confidence in his ability to understand the market has led him to focus on planning a business of his own. peppy realizes that he will take a risk when he leaves his job with pizza guys and embarks upon a new venture: peppy's pizzazzeria. peppy is excited about the potential of profitably catering to the unmet desires of pizza consumers. peppy is confident that peppy's pizzazzeria will be a success, but only if he has enough money to do things right. since peppy has very little personal wealth, he knows he must obtain financial assistance. in order to prepare for meetings with bankers and p

Needs to schedule the staffing of the center. it is open from 8am until midnight. larry has monitored the usage of the center at various times of the day and determined that the following number of computer consultants are required: time of dayminimum number of consultants required to be on duty8 am-noon4noon-4 pm84pm-8pm108pm-midnight6 two types of computer consultants can be hired: full-time and part-time. the full- time consultants work for eight consecutive hours in any of the shifts: morning (8am- 4pm), afternoon (noon-8pm) and evening (4pm-midnight). full-time consultants are paid $14 per hour. part-time consultants can be hired to work any of the four shifts listed in the table. part-time consultants are paid $12 per hour. an additional requirement is that during every time period, there must be at least two full-time consultants on duty for every part-time consultant on duty. larry would like to determine how many full-time and part-time consultants should work each shift to meet the above requirements at the minimum possible cost. formulate this as an lp problem. you must define your variables clearly

Bond x is noncallable and has 20 years to maturity, a 7% annual coupon, and a $1,000 par value. your required return on bond x is 10%; if you buy it, you plan to hold it for 5 years. you (and the market) have expectations that in 5 years, the yield to maturity on a 15-year bond with similar risk will be 9.5%. how much should you be willing to pay for bond x today? (hint: you will need to know how much the bond will be worth at the end of 5 years.) do not round intermediate calculations. round your answer to the nearest cent.