OPTIMIZING ADVERTISING EXPOSURE As part of a campaign to promote its annual clearance sale, the Excelsior Company decided to buy television advertising time on Station KAOS. Excelsior's advertising budget is
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Finite Mathematics for the Managerial, Life, and Social Sciences
- What is the total effect on the economy of a government tax rebate of $1,000 to each household in order to stimulate the economy if each household will spend 90% of the rebate in goods and services?arrow_forwardBecause of road construction in one city, commuters were advised to plan that their Monday morning commute would take 150% of their usual commuting time. Explain what this means.arrow_forwardIf during the following year it is predicted that each comedy skit will generate 30 thousand and each musical number 20 thousand, find the maximum income for the year. A television program director must schedule comedy skits and musical numbers for prime-time variety shows. Each comedy skit requires 2 hours of rehearsal time, costs 3000, and brings in 20,000 from the shows sponsors. Each musical number requires 1 hour of rehearsal time, costs 6000, and generates 12,000. If 250 hours are available for rehearsal and 600,000 is budgeted for comedy and music, how many segments of each type should be produced to maximize income? Find the maximum income.arrow_forward
- Because of road construction in one city,commuters were advised to plan that their Mondaymorning commute would take 150% of their usual commuting time. Explain what this means.arrow_forwardAssume that the average price for a​ 2,000-square-foot house in the city is $350,000 and the average rent for a​ 2,000-square-foot apartment in the city is ​$1,100 per month. Also assume that the average price for a​ 2,000-square-foot house in the suburbs is ​$250,000​, the average price for a​ 2,000-square-foot house in the county is ​$343,333​, and the average price for a​ 3,000-square-foot house in the suburbs is ​$430,000. Using comparative statics and the information​ above, what is the best estimate of the effect of living in the city​ (relative to living in the​ suburbs) on home​ prices? Living in the city changes home prices by $...... ​(Round your response to two decimal places.​)arrow_forwardA car rental agency rents 190 cars per day at a rate of ​$20 per day. For each ​$1 increase in​ rate, 5 fewer cars are rented.  At what rate should the cars be rented to produce the maximum​ income?  What is the maximum​ income?  The rental agency will earn a maximum income of ​$......when it charges ​$......per day.arrow_forward
- Autumn has a smart phone data plan that costs $50 per month that includes 9 GB of data, but will charge an extra $10 per GB over the included amount. How much would Autumn have to pay in a month where she used 3 GB over the limit? How much would Autumn have to pay in a month where she used went over by x GB? Total cost when over by 3 GB: Total cost when over by x GB: Submit Answer attempt 1 out of 2arrow_forwardAccording to Fidelity Investment Vision Magazine, the average weeklyallowance of children varies directly as their grade level. In a recent year, theaverage allowance of a 9th-grade student was 9.66 dollars per week. What was the average weekly allowance of a 4th-grade student?arrow_forwardA company is planning to manufacture snowboards. The fixed costs are $139 per day and the total costs are $6,241 per daily output of 25 boards. What is the average costs per board tend to as production increases?arrow_forward
- The Acme Widget Company has found that if widgets are priced at $245, then 4800 will be sold each month. They have also found that for every increase of $20, there will be 100 fewer widgets sold each month. The cost to produce each widget is $73.5 plus the monthly fixed costs are $1800.arrow_forwardA book publisher wants to know how many times a year a print run should be scheduled. Suppose it costs $1400 to set up the printing process, and the subsequent cost per book is so low it can be ignored. Suppose further that the annual warehouse cost is $8 times the maximum number of books stored. Assuming 5900 copies of the book are needed per year, how many books should be printed in each print run? Note that since the warehouse cost is based on the maximum number of books held and not the average, the equation q = should be used to determine the order quantity. The publisher should print books in each print run. (Round up to the nearest integer.)arrow_forwardThe head of the department is salaried with P1,200,000 per annum while his assistant receives P400,000 per annum. A given task can be completed by the head in 4 hours if he works alone. Should he decide to delegate the task to the assistant, he needs 40 minutes to give details on the task and another 50 minutes to see if the finished work is correct. The assistant takes an additional time of 6 hours to finish the work after being instructed. Considering salary costs only, determine the cost of performing the task if (a) the head works the task alone, (b) if he delegates the work to the assistant. The assistant works 2,500 hours per annum and the head 3,200 hours per annum.arrow_forward
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