Tony decided to visit his parent in San Diego during the long weekend. He has two options. Either he can take a flight or carpool with his friends. The flight cost is $300 and it takes 2 hours to reach home. Carpool cost is $100 and he will reach home in 8 hours. If he decides to carpool with his friends, the opportunity cost of his decision is: 0 8 Hours $200 O $300 O 6 hours
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- Your car gets 29 miles per gallon (mpg) at 60 miles per hour (mph) and 25 mpg at 70 mph. At what speed should you make a 525-mile trip: (a) If gas costs $3 per gallon and your time is worth $18/hr? (b) If gas costs $4 per gallon and your time is worth $12/hr? (c) If gas costs $5 per gallon and your time is worth $9/hr? (d) Build a spreadsheet to calculate the total trip cost for gas costs of $2, $3, $4, and $5 and values of time of $6, $9, $12, $15, and $18 per hour. Do two tables: one at 60 mph and one at 70 mph.In connection with surfacing a new highway, a contractor has a choice of two sites on which to set up the asphalt-mixing plant equipment. The contractor estimates that it will cost $1.25 per cubic yard mile (yd3 –mile) to haul the asphalt-paving material from the mixing plant to the job location. Factors relating to the two mixing sites are as follows: (See pic) The job requires 50,000 cubic yards of mixed-asphalt-paving material. It is estimated that four months (17 weeks of five working days per week) will be required for the job. Compare the two sites in terms of their total costs. Assume that the cost of the return trip is negligible. A) Which is the better site? B) For the selected site, how many cubic yards of paving material does the contractor have to deliver before staring to make a profit if paid $8.35 per cubic yard delivered to the job location?The ore of a gold mine in the mountain province contains, on the average, 0.5 Gram of gold per ton. One method of processing cost P1,650 per ton recovers 93% of the gold, while another method cost only P1,500 per ton and recovers 81% of the gold. If gold can be sold at P8,500 per gram, which method is better and by how much?
- Allina opens an exotic bakery. Her capacity for the month is eight hundred (800) Love Cherry Short cakes. On average, in a month, she pays a fixed amount for water, electricity, security and a loan of TTD100.00, TTD1,200.00, TTD2,700.00 and TTD4,000.00 respectively. In addition, she estimates that TTD50.00 more must be paid for each Love Cherry Short cake she makes and sells. If she sells one Love Cherry Short cake for TTD90.00. Identify and clearly state all variables used. Determine the following: Allina’s total cost and revenue functions. From part a) state the domain and range the total cost and revenue functions. Allina’s total cost when she produces and sells one thousand Love Cherry Short cakes. The value of the rational function of total cost and total revenue when no Love Cherry Short cakes are made and sold. Answer the following based on the problem set above. a. write a short reflective piece (NO MORE THAN 50 words per Problem Set…An architect-engineering firm is planning a parking lot to accomodate 400 vehicles. Each parking space will be 8.5 feet x 15 feet. It has been estimated that the space required for aisles will be 70 percentage of the space required for parking. A local paving company charges 8$ per square foot for paving and a flat fee of $10,600 for marking and painting the individual parking spaces. Based on this information, what is the estimated cost of paving and marking this parking lot? The estimated cost of paving and marking the parking lot is: $ ?The ore of a gold mine in the Mountain Province contains, on the average, 0.5 gram of gold per ton. One method of processing costs P1,650 per ton and recovers 93% of the gold, while another method costs only P1,500 per ton and recovers 81% of the gold. If gold can be sold at P8,500 per gram, which method is better and by how much?
- The fixed cost for a steam line per meter of pipe is $450X + $50 per year. Thecost for loss of heat from the pipe per meter is $4.8/X1/2 per year. Here, Xrepresents the thickness of insulation in meters, and X is a continuous designvariable. Solve, a. What is the optimum thickness of the insulation? b. How do you know that your answer in Part (a) minimizes total cost per year? c. What is the basic trade-off being made in this problem?If the cost of gasoline is $2.50 per gallon, how far out of your way (one way) could you afford to drive (in miles) to a service station that has gasoline at $2.25 per gallon if your vehicle gets 30 miles per gallon and you will fill up with 20 gallons of fuel? Consider only the cost of gasoline in vehicle driving cost. (Hint: Since you are going out of your way, you have to drive back the same distance.)Data for a new product that is very labor intensive introduced by Hicks Brothers in the operation in Hendersonville, TN, is given below. The average labor cost including overhead expenses is about $20 per hour. If production time required for the first unit is 10 hours, and the operation has a 95% learning curve, what is the cumulative (i.e. total) time for 10 units to be made? Group of answer choices 103.43 hrs 30.69 hrs 89.56 hrs 501.40 hrs
- The National Bank of Union City currently has one outsidedrive-up teller. It takes the teller an average of three minutes (exponentially distributed) to serve a bank customer.Customers arrive at the drive-up window at the rate of12 per hour (Poisson distributed). The bank operations officer is currently analyzing the possibility of adding a second drive-up window at an annual cost of $20,000. It isassumed that arriving cars would be equally divided between both windows. The operations officer estimates thateach minute’s reduction in customer waiting time wouldincrease the bank’s revenue by $2000 annually. Should thesecond drive-up window be installed? What other factorsshould be considered in the decision besides cost?Tom borrowed Php500,000 from her parents to open a spa. He pays her parents a 5% yearly return on the money they lent her. Her other yearly fixed costs equal Php150,000 and his variable costs equal Php200,000. In her first year, Tom had a total of 2,000 customers at a price of Php300/customer. Tom's total fixed cost isA furniture manufacturer has an annual overhead cost of P120,000 plus 20% of the sales in pesos. Labor costs P20 per set and the materials cost P10. He has a maximum capacity of 1000 sets per month but expects to produce only 8000 sets per year. If he could sell all what he expects to produce, how much is the selling price of each set just to break even? Show solutions.