BMCC is preparing a field trip for 400 students. The bus company has 10 buses of 50 seats each and 8 buses of 40 seats, but has only 9 drivers available. The rental cost for a large bus is $800 and $600 for a small bus. Calculate how many buses of each type should be used for the trip for the least possible cost Choose the corner point that satisfies the objective
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BMCC is preparing a field trip for 400 students. The bus company has 10 buses of 50 seats each and 8 buses of 40 seats, but has only 9 drivers available. The rental cost for a large bus is $800 and $600 for a small bus. Calculate how many buses of each type should be used for the trip for the least possible cost
- Choose the corner point that satisfies the objective
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- A department is preparing a trip for 80 volunteers to an area affected by the typhoon. The transportation company to transit the volunteers has 8 vans of 15 seats each and 5 vans of 10 seats, but only has 15 drivers available. The rental cost for a large van is $150 and $100 for a small van. Calculate how many vans of each type should be used for the trip for the least possible cost. Question 1: What objective function will be used to evaluate the minimum cost? Question 2: Given the feasible region, how many corner points does the LP model generate? Question 3: Given the graph of the LP model, which of the following is not a corner point? (0,0), (0,8), (0,15) (15,0) Question 4: How many constraints, excluding the non-negative constraints, will be considered for the determination of the optimal solution? Question 5: What is the minimum cost referred to in the problem?Trips Logistics, a third-party logistics firm that provides warehousing and other logistics services, is facing a decision regarding the amount of space to lease for the upcoming three-year period. The general manager has forecast that Trips Logistics will need to handle a demand of 100,000 units for each of the next three years. Historically, Trips Logistics has required 1,000 square feet of warehouse space for every 1,000 units of demand. For the purposes of this discussion, the only cost Trips Logistics faces is the cost for the warehouse. Trips Logistics receives revenue of $1.22 for each unit of demand. The general manager must decide whether to sign a three-year lease or obtain warehousing space on the spot market each year. The three-year lease will cost $1 per square foot per year, and the spot market rate is expected to be $1.20 per square foot per year for each of the three years. Trips Logistics has a discount rate of k = 0.1.A circus is scheduled to appear in a city on a given date. The profits obtained are heavily dependent on the weather which can be classified as "good" or" bad". The circus owners may choose to setup operations in a large open field that is centrally located or rent a small building to stage a small version of the circus. The small building is not expected to be adversely affected by bad weather – thus will not affect the circus for it is well secure and has covered parking for the guests. The following shows the profits of the options and states of nature: States of nature Decision alternatives Set up in field Rent small building | Probability Good Bad $14,500 $5,000 -$15,000 $4,000 P(G)=0.5 P(B)=0.5 The circus owners may choose to delay the decision until the day before the event is due. At this time they can obtain the one-day weather report (free) which is usually reliable. This delay will however increase their set up cost by $1000.00 or if they choose to rent, the rental cost will…
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- Use the following information for the next 3 questions: A product is to take 30 hours to be delivered to a customer and shipping costs are $2700. If the product is 8 hours or more late, the penalty is $500. Shipping costs decline at a rate of $50 for each additional hour of transit time allowed. 1. What is the optimal delivery time (y) that will minimize costs? - 33.2 hours - 31.2 hours - 32.2 hours - 30.2 hours - 34.2 hours - 35.2 hours 2. If the product is delivered in 34 hours, what is the Taguchi Loss Cost (L)? - $250 - $300 - $80 - $500 - $0 - $125 - $375 3. If the product is delivered in 36 hours, what is the Total Cost (Taguchi Loss Cost plus Process Cost)? - $2,700 - $2,681.25 - $2,400 - $2,396.75 - $2,250.30 - $2,543.50eCabs is a newly created taxi service company that provides online booking for clients in the Lusaka province. eCabs has considered developing a simple website for an online booking System with the capability to enable clients access from their mobile devices and to book for a trip. At the time of their first booking, clients should be able to enter their details into an online form, along with their credit card details. However, clients can also have an account with eCabs and for any subsequent bookings, they can log in to their own account and make a booking for a taxi. They need to be able to enter their trip origin and destination. The system will give them an estimate of cost according to their trip description. Assuming you have been assigned to design and develop the system for eCabs. You are given three weeks to come up with a blueprint of the system design and present the design to a team of consultants. The online booking System should be able to perform a number of…Alice, Wonder, and Land are freshmen under the marketing management program. Every month, they purchase a piece of Panda ballpen. The price of the ball pen is Php9.50.According to a recent survey, 45% of the marketing freshmen have the samepurchasing behavior as Alice, Wonder, and Land. Another 30% also purchase Panda ballpens regularly at the same price; however, they purchase once every 2 weeks. There are approximately 280 freshmen under the marketing management program. Assuming that the behavior is consistent throughout their 4-year stay in the program, what is the approximate projected revenue that can be generated from the marketing freshmen for the entire duration of their stay in the program?
- Swell Productions is sponsoring an outdoor conclave for owners of collectible and classic Fords. The concession stand in the T-Bird area will sell clothing such as T-shirts and official Thunderbird racing jerseys. Jerseys are purchased from Columbia Products for $40 each and are sold during the event for $75 each. If any jerseys are left over, they can be returned to Columbia for a refund of $30 each. Jersey sales depend on the weather, attendance, and other variables. The following table shows the probability of various sales quantities. How many jerseys should Swell Productions order from Columbia for this one-time event?Sales Quantity Probability Quantity Sales Probability100 0.05 400 0.34200 0.11 500 0.11300 0.34 600 0.05A gold mining area in Lanao contains on average, 1 ounce of gold per ton. Two methods of processing are available; method A costs ₱1.5 M per ton and recovers 90% of gold; method B cost ₱1.3M per ton and recovers 80% of the gold. If gold can be sold for ₱2.4M per ounce, which method is better and by how much?Karen owns a roof repair service and drives a van to local client sites. During the week she drives the following distances: · From her home to her business headquarters: 8 miles · From her headquarters to a client site: 15 miles · From client site back to her headquarters: 15 miles · Trip from her headquarters back home: 8 miles How many miles does she count for business purposes? Group of answer choices 8 miles. 15 miles. 30 miles. 46 miles.