Electricity is produced with water according to the function: E = 5 + 5W-1W² where E = kilowatt-hour and W = gallons of water. Water costs $0.02 per gallon. Electricity can be sold on the grid for $0.10 per kWh (kilowatt-hour). How much water should be purchased?
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- 1.The price p in dollars of a certain commodity and the quantity x sold obey the demand equation p= -1/5 + 200 where 0<=x <=1000. Suppose that the cost C in dollars of producing x units is C= the square root of x divided by 10 + 400. Assuming that all items produced are sold, find the cost of c as a function of the price p. 2. The value V of a vehicle is v(t)= 420,000(0.965)^t. What would be the car's worth in 2 years? In how many years would the car be worth $325,000?Problem 6Cannes Croissants (not a real company) wishes to determine the optimum production quantity for its topselling product, almond croissants. The annual demandfor almond croissants is 12,000 units. The setup costs fora production run of the croissants is US$15. The holdingcost per unit per year is US$0.50. Production is mostefficient when 80 croissants are produced per day. Thecompany operates 300 days during a year.a What is the economic production quantity (EPQ)?b How many production runs will there by per year?c What is the maximum inventory level?d What is the total annual cost (in US dollars)?e What is the length of a production run in days?How much carbon dioxide would you prevent from entering the atmosphere in one year if you replace a 100 w light bulb with a CFL light bulb that uses 30 watts and they fix your that you have on 8 hours per day round the answer to the hundredth place. Your friend uses 5.5 gallons of gas each month mowing his lawn approximately how much CO2 pollution does it cause per month. How much does it create per year. Assuming he mows 6 months per year.
- PUP 48,213 UST 40,000 FEU 27,889 LRT2 200,000 passengers daily If 60% of PUP, 30% of UST, and 85% of FEU students take LRT2 daily and pays an average fare of Php25 per day… What is the total annual market size (revenue) of LRT2? What is the total annual market size (revenue) of the 3 schools? If operations is halted for 1 week, what is the projected loss in revenues? What is the market share (volume) of: PUP students? UST students? Feu students?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:Suppose that the annual maintenance cost of a public park is $40,000. The park has no entrance fee and the local government is under considerable pressure to sell it to urban developers. You are asked to estimate the value of the park to the public by using the travel cost method. The park is visited by people living in five concentric zones around it. Each zone has a population of 5000, and the total travel cost for a visit to the park from zone i is given by TCi = 4 (i -1), where i = 1,...,5. For each zone, the estimated relationship between visitation rate V (defined as annual number of visits/(population of zone/1000)) and total travel cost (TC) is given by V = 100 - 5 TC. (a) For each zone, obtain an equation relating the total number of visits from that zone to different levels of a hypothetical fee charged per visit.
- Give typing answer with explanation and conclusion Aling Martha has consumed 289kWh of electricity for the month of December. How much should she pay if each kWh costs PhP 9.75?Honda Motor Company is considering offering a rebate on its minivan, lowering the vehicle's price from to . The marketing group estimates that this rebate will increase sales over the next year from to vehicles. Suppose Honda's profit margin with the rebate is per vehicle. If the change in sales is the only consequence of this decision, what are its benefits and costs? Is it a good idea?Q5) A firm is planning to manufacture a new product. The sales department estimates that the quantity that can be sold depends on the selling price. As the selling price is increased, the quantity that can be sold decreases. Numerically they estimate: P = $35.00 - 0.02Q where P =selling price per unit Q = quantity sold per year On the other hand, the management estimates that the average cost of manufacturing and selling the product will decrease as the quantity sold increases. They estimate C = $4.00Q + $8000 where C = cost to produce and sell Q per year The firm's management wishes to produce and sell the product at the rate that will maximize profit, that is, where income minus cost will be a maximum. What quantity should the decision makers plan to produce and sell each year?
- 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?An entrepreneur named Khadijah has total revenue shown by the equation TR = 150Q - 5Q² and total costs shown by the equation TC = 20 - 10Q. Determine the amount of output that must be produced by Khadijah to get the maximum profit and what is the maximum profit from that amount of output. Prove that the value obtained is the maximum!The demand curve shows how energy use spikes at times of the day that do not align with peak alternative energy production. Pick two potential solutions and explain how they address the demand curve problem in 1-2 sentences for each example: