Clipper Company sells two types of nail clippers. One focuses on the economy oriented customer and the other aims to satisfy the high-end clientele. The economy clipper cost $3 and has a sales price of $5. The high-end model costs $9 and sales for $12. Fixed costs associated with this product line amount to $35,880. Economy clippers constitute 70 percent of the market with the remaining 30 percent being high-end clippers. Based on this information what is the weighted average contribution margin?

a. $1.00
b. $1.80
c. $2.80
d. $2.30

while setting up his new office, an attorney ordered thick, frieze carpets for the floor. however, the building inspector had him remove the expensive carpeting. the building inspector stated that according to federal regulations, the office must be wheelchair accessible as it is a public area. he further explained that since wheelchairs do not maneuver well in thick, frieze carpeting, the carpets had to be removed and be replaced with smooth-textured carpets that do not restrict wheelchair maneuverability. this scenario illustrates how a company is influenced by the component of its specific environment.

Burke enterprises is considering a machine costing $30 billion that will result in initial after-tax cash savings of $3.7 billion at the end of the first year, and these savings will grow at a rate of 2 percent per year for 11 years. after 11 years, the company can sell the parts for $5 billion. burke has a target debt/equity ratio of 1.2, a beta of 1.79. you estimate that the return on the market is 7.5% and t-bills are currently yielding 2.5%. burke has two issuances of bonds outstanding. the first has 200,000 bonds trading at 98% of par, with coupons of 5%, face of $1000, and maturity of 5 years. the second has 500,000 bonds trading at par, with coupons of 7.5%, face of $1000, and maturity of 12 years. kate, the ceo, usually applies an adjustment factor to the discount rate of +2 for such highly innovative projects. should the company take on the project?

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.