ware developers. The benefits of this program 5, but also the goodwill generated by an increa d professional groups. The costs of this trainin and consultants necessary. Suppose these benefit 20² and C(Q) 10Q, where Q represents the ould spend in training. (Note that MB = 100 measured in fractions of one hour.) Q maximizes the total benefits of your newly int minimizes the total costs of the program? maximizes the net benefits? caining is optimal? Why?
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- The Almost-Graduating Senior Problem. Consider this situationfaced by a first-semester senior in civil engineering who is exhaustedfrom extensive job interviewing and penniless from excessivepartying. Mary’s impulse is to accept immediately a highly attractivejob offer to work in her brother ’s successful manufacturing company.She would then be able to relax for a year or two, save some money,and then return to college to complete her senior year and graduate.Mary is cautious about this impulsive desire, because it may lead tono college degree at al a. Develop at least two formulations for Mary’s problem.b. Identify feasible solutions for each problem formulation in Part (a).Be creative!Suppose the total benefit derived from a given decision, Q, is B(Q) = 20Q – 2Q2 and the corresponding total cost is C(Q) = 4 + 2Q2.Instructions: Use a negative sign (-) where appropriate and round up your answers to no decimal. Do not round values if needed to complete other calculations.a. What is total benefit when Q = 2? Q = 10?When Q = 2: $ When Q = 10: $ b. What is marginal benefit when Q = 2? Q = 10?When Q = 2: $ When Q = 10: $ c. What level of Q maximizes total benefit? Q = units. d. What is marginal cost when Q = 2? Q = 10?When Q = 2: $ When Q = 10: $ e. What level of Q maximizes net benefits? Q =3.2 Differentiate between accounting costs and economic costs. Motivate your answer with the aid of examples
- [A] Suppose that a drug company has developed an ointment that can be used to treat sores and reduce scarring. Surveys indicated that the ointment, which costs $10,000 for a full course of treatment, can improve the quality of life from 0.6 to 0.7 for patients with this problem. Assume that this population has a life expectancy of 70 years. No need to worry about discounting. 1. What is the Incremental Cost-Utility Ratio (ICUR) for taking the ointment over doing nothing for a typical 20-year-old patient? [Hint: This patient has only 50 years of life remaining.] 2. If the cost-effectiveness threshold is $5,000 per QALYS, will the 20-year-old patient choose to get the ointment? What about a 60-year-old patient? [B] Is it appropriate to evaluate a healthcare intervention using various methods of economic evaluation as discussed in this course, or should we choose one primary method that best fits the analysis?Electrical Components Profit A company’s dailyprofit from the production and sale of electrical components can be described by the equation P(x) =6.45x - 2000 dollars, where x is the number of unitsproduced and sold. What level of production andsales will give a daily profit of more than $10,900?A company estimated that the relationship between the unit price and demand per month for a potential new product is approximated by P = $ 100 – $ 0.1D. The company can produce the product by increasing fixed costs $ 17,500 per month, and the estimated variable costs is $ 40 per unit. What is the optimal demand, D*, and based on this demand, should the company produce new product? Why? a) Work out the complete solution by differential calculus, starting with formula for profit or loss per month b) Solve graphically for an approximate answer
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- A local company is planning to manufacture and market a four-slice toaster. For this toaster, the research department’s estimates are aweekly demand of 300 toasters at a price of $25 per toaster and a weekly demand of 400 toasters at a price of $20. The financial department’s estimates are fixed weekly costs of$5,000 and variable costs of $5 per toaster. a) Assume that the relationship between price ? and demand ? is linear. Use the research department’s estimates to express ? as a function of ? and determine the domain of the function. b) Using your knowledge from Finite Math, determine the Revenue function in terms of ?. c) Determine the Marginal Revenue at 2 different production levels for example 250 and 500 units. Interpret these results. (HINT: Consider what a positive or negative first derivative implies) d) Assume that the cost function is linear. Use the financial department’s estimates to express the cost function interms of ?. e) Determinethe Marginal costand interpret the…Decide the best choice. a. The inndividual waiting times experienced by customers in a busy breakfast cafe would be an example of a deterministic process because several customers are waiting to be seated. b. Informmation Systems and Informmation Technology are identical and synonyms that mean the exact same thing. c. In 2019, both manuffacturing and service sectors employed roughly the same percentage of the labor force in USA. d. Today, services constitute a large percentage (e.g., more than 60%) of the U.S. economy. e. Both choices ‘a’ and ‘b’ are correct.Answer the following question with (True) if the statement is correct and with(False) if the statement is wrong 1. Project is a temporary endeavor undertaken to create a unique product only ( __ )Justify:2. Time, budget, resources and customer specifications are the project limitations( __ )Justify:3. Adding working shifts to a late project will help crashing the project towards thedeadline( __ )Justify:4. Finish-to-start (FS) is a logical relationship in which a predecessor activity cannot startuntil a successor activity has finished. ( __ )Justify:5. The project customer/user not considered as a project stakeholder. ( __ )Justify: