Suppose the cost to clean the lake is $40 per hour and that the residents have agreed to split the cost of cleaning the lake equally. if it was decided that the lake will be cleaned for the number of hours that maximizes total surplus of widgetapolis, how much individual surplus will james receive in total?

4. project memo your supervisor has asked you to create a final copy of a memo announcing a special project. open the microsoft® word file ch01 memo from the data files. edit the memo to correct errors in keyboarding, punctuation, spelling, and word usage. submit the edited document to your instructor along with this assignment.to: department supervisorsfrom: tomas perezdate: january 3, 20--subject: playground projectas you now, are offices are close each year on observance of martin luther king, jr. day. this year, the company is organizing a service project for that day. we will be clean up the grove street playground and panting bushes, blubs, and flowers. the company is donating now playground equiptment and park benches. cleanup gear and tools will be provided, and a cook out will conclude the days’ activities. farther information will be provided as the date draws nearer. encourage the employee in you department too participate in this worthwhile effort.

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.

Assume a competitive firm faces a market price of $60, a cost curve of c = 0.003q^3 + 25q + 750, and a marginal cost of curve of: mc = 0.009q^2 + 25.the firm's profit maximizing output level (to the nearest tenth) is , and the profit (to the nearest penny) at this output level is $ will cause the market supply to (shift right/shift left). this will continue until the price is equal to the minimum average cost of $