.A remittance company charges its customers based on the delivery rate table as shown. Amount is in Philippine peso. 3 kg Destination 1 kg 5 kg 10 kg 20 kg (max) (max) (max) (max) (max) NCR 120 160 220 420 820 Luzon 150 190 320 620 1,220 Mindanao 150 190 370 720 1,420 (a) Write a rule of a piecewise-defined function C such that C(x) is the charge due on a weight x kg for NCR. (b) Graph the function in (a) (c) Use the table to find C (12.3) in Mindanao
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A: THE EXPLANATION HAS BEEN GIVEN IN THE ATTACHED FILE.
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- A researcher is interested in understanding how the flexibility of vacation policies at a company influence employee satisfaction with their job. Company 1, Vance Refrigeration, has a 2 week vacation policy in which employees can take those 2 weeks at any time during the year. Company 2, Dunder Mifflin Paper Company, has a 2 week vacation policy in which employees can only take vacation days during specific pre-approved times of year. What is the confound?The cashier line of a canteen can facilitate up to 60 customers an hour. Frequenters of the canteen arrive at an average of 50 an hour. Suppose that management wants to evaluate the desirability of opening a second order-processing station so that two customers can be served simultaneously. Assume a single waiting line with the first customer in line moving to the first available server. a. What is the average arrival time in minutes of customers? b. What is the average service time in minutes of the canteen? c. What is the probability that the canteen has a customer?Florrie’s Fashion Store and Mary’s market stall both sell a particular style of sweatshirt. They arethe only outlets for the garment in the area, with Florrie’s accounting for 70% of the total numbersold and Mary’s accounting for the remainder. Unfortunately colour dye that faded prematurely wasused to manufacture the first batches of the product. The supplier estimates that 15% of the stocksupplied to Florrie and 25% of the stock supplied to Mary have this problem. Use Bayes’ rule to findthe probability that if a sweatshirt is defective it was sold by Mary.
- A manufacturing company receives orders for engines from two assembly plants. Plant I needs at least 45 engines, and plant Il needs at least 32 engines. The company can send at most 120 engines to these assembly plants. It costs $30 per engine to ship to plant I and $40 per engine to ship to plant Il. Plant I gives the manufacturing company $20 in rebates toward its products for each engine they buy, while plant Il gives similar $10 rebates. The manufacturer estimates that they need at least $1500 in rebates to cover products they plan to buy from the two plants. How many engines should be shipped to each plant to minimize shipping costs? What is the minimum cost? How many engines should be shipped to each plant to minimize shipping costs, subject to the given constraints? The number of engines to send to plant I is() The number of engines to send to plant Il is() What is the minimum shipping cost, subject to the given constraints?$ ()Suppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…37. The small mail-order firm Sea’s Beginning has onephone line. An average of 60 people per hour call inorders, and it takes an average of one minute to handlea call. Time between calls and time to handle calls areexponentially distributed. If the phone line is busy, Sea’sBeginning can put up to c 2 1 people on hold. If c 2 1people are on hold, a caller gets a busy signal and calls acompetitor. Sea’s Beginning wants only 1% of all callersto get a busy signal. How many people should it be ableto put on hold, that is, what is the required value of c?
- Suppose that a consumer cannot vary hours of work as he or she chooses. In particular, he or she must choose between working q hours and not working at all, where q > 0. Suppose that dividend income is zero, and that the consumer pays a tax T if he or she works, and receives a benefit b when not working, interpreted as an unemployment insurance payment. a. If the wage rate increases, how does this affect the consumer’s hours of work? What does this have to say about what we would observe about the behavior of actual consumers when wages change? Explained also with the graph b. Suppose that the unemployment insurance benefit increases. How will this affect hours of work? Explain the implications of this for unemployment insurance programs. Explained also with the graphHypertension A national study found that treating people appropriately for high blood pressure reduced their overall mortality by 20%. Treating people adequately for hypertension has been dif- ficult because it is estimated that 50% of hypertensives do not know they have high blood pressure, 50% of those who do know are inadequately treated by their physicians, and 50% who are appropriately treated fail to follow this treat- ment by taking the right number of pills. 4.32 If the preceding 50% rates were each reduced to 40% by a massive education program, then what effect would this change have on the overall mortality rate among true hypertensives; that is, would the mortality rate decrease and, if so, what percentage of deaths among hypertensives could be prevented by the education program?Hypertension A national study found that treating people appropriately for high blood pressure reduced their overall mortality by 20%. Treating people adequately for hypertension has been dif- ficult because it is estimated that 50% of hypertensives do not know they have high blood pressure, 50% of those who do know are inadequately treated by their physicians, and 50% who are appropriately treated fail to follow this treat- ment by taking the right number of pills. 4.32 If the preceding 50% rates were each reduced to 40% by a massive education program, then what effect would this change have on the overall mortality rate among true hypertensives; that is, would the mortality rate decrease and, if so, what percentage of deaths among hypertensives could be prevented by the education program? The image shows a solution to the question above I did not understand how the first steps were solved. Please explain all the steps
- The foundry produces parts to order. An order for 20 custom parts was received. The casting process costs $700 per programmed unit. If the casting is good, then it is manufactured to specifications, at an additional cost of $500 per unit. If a part is not sold, there is a recycling value of $300. The customer has indicated that he is willing to pay $2,000/piece for the set of 20 pieces acceptable; the customer also agreed to pay $1500 for one or two pieces additional. However, the customer does not want to buy less than 20 or more than 22 pieces. Based on historical records, the probability distributions shown in the table below were estimated. How many castings must be programmed in order to maximize profit expected? How likely is it to lose money?A company manufacture two different types of call phone F and E, each unit of call phone S costs (OR .7)and each unit of call phone E costs (OR. 6). The company insists that total costs for the two types call phone be (OR .400). Assuming that company manufactures in total 88 products. How many products are of type Fand E? (solve the problem using Crammer's Rule)Workers in Company XYZ used 200 computers for their daily operation. In that company, the computers are categorized into type A and B. The workers usually complained that they experience performance problems with the computers more than once per week. Based on a survey, the company found that fifty of the Type A computers will encounter problems more than once per week. Meanwhile seventy-five of the Type B computers do not experience problems more than once per week. There are 120 Type B computers in the company. Based on the above scenario determined whether the events “Type A computer” and “experience problems more than once per week” are independent event? Explain.