讲解：BUS 336、Java/Python、c++，PythonPython|R

Assignment 1BUS 336 - Due In Class Wednesday, January 23, 2019Question 1: Marketing OptimizationPepsi needs to decide how many TV advertisements or magazine ads to run during the next quarter (Q2)of 2019. Each TV ad costs $5,000 and is expected to increase sales by 250,000 bottles. Each magazine adcosts $2000 and is expected to increase sales by 450,000 bottles. Pepsi has a total budget of $100,000 foradvertising (TV and magazine ads), and wants to spend no more than $70,000 on TV spots and $50,000on magazine ads. Pepsi also earns a profit of $0.05 on each bottle that it sells! Management would like toideally maximize the number of total bottles sold.a) Formulate a linear program model for this problem. What is the equation to be optimized?b) Sketch the feasible region for the model. What are the corner points? Show all constraints.c) Find the optimal solution using the corner points. I.e. How many ad units should be bought?Question 2: Mining OptimizationGoldcorp extracts minerals from ore mined at two different sites in Argentina. Each ton of ore type 1contains 20% gold, 20% copper, and 15% molybdenum. On the other hand, each ton of ore type 2contains 30% gold, 25% copper, and 10% molybdenum. Ore type 1 costs $90 per ton, and ore type 2costs $120 per ton. Goldcorp would like to buy enough ore to extract at least 8 tonnes of gold, 6 tonnesof copper, and 5 tonnes of molybdenum in the least costly manner.a) Formulate a linear program model for this problem. What is the equation to be optimized?b) Sketch the feasible region for the model. What are the corner points? Show all constraints.2c) Find the optimal solution using the corner points. I.e. How many tonnes of type 1 ore and type 2ore should be mined daily to hit their production targets?Question 3 – Farming OptimizationFarming is big business around the world, and is driven significantly by optimization modelling. Let usimagine a farm, in California, is 100 acres in total on which the farmers can plant either watermelons orcantaloupes. Every acre planted with watermelons requires 50 gallons of water per day, and must beprepared for planting with 20 pounds of fertilizer. On the other hand, every acre planted withcantaloupes requires 75 gallons of water per day and must be prepared for planting with 15 pounds offertilizer. BUS 336作业代写、代做Java/Python程序作业、代写c++，Python语言作业 代写Python编程|帮做The farmer estimates that it will take 2 hours of labor to harvest each acre planted withwatermelons, and 2.5 hours to harvest each acre planted with cantaloupes. He believes thatwatermelons will sell for about $3 each and cantaloupes will sell for about $1 each. Every acre plantedwith watermelons is expected to yield 90 salable units while every acre planted with cantaloupes isexpected to yield 300 salable units. The farmer can pump about 6,000 gallons of water per day forirrigation purposes. He can also buy as much fertilizer as he needs, at a cost of $10 for a 50 pound bag.Finally, the farmer can hire laborers to harvest the fields at a rate of $5 / hour. If the farmer sells all thewatermelons and cantaloupes he produces, how many acres of each crop should the farmer plant tomaximize profits?a) Formulate a linear program model for this problem. What is the equation to be optimized?b) Sketch the feasible region for the model. What are the corner points? Show all constraints.c) Find the optimal solution using the corner points. I.e. How many acres of each plant should befarmer to maximize profit?Question 4 - Advertising OptimizationFord is evaluating their marketing plan for sedans, SUV’s, and trucks they produce. A TV ad featuring thisa feature SUV has been produced to support this. The company estimates that each showing of thisadvertisement will cost $500,000 and increase sales of SUV’s by 3%, but reduce sales of trucks by 1% andhave no effect on the sales of sedans.3The company has also prepared a second type of advertisements – print ads. This print ad campaign couldrun nationally in newspapers and magazines at a cost of $750,000 per title. It is estimated that eachmagazine title the ad runs will increase the sales of sedans, SUV’s, and trust by 2%, 1%, and 4%respectively. The company would like to increase sales of sedans, SUV’s, and trucks by AT LEAST 3%, 14%and 4% in the least costly manner.a) Formulate a linear program model for this problem. What is the equation to be optimized?b) Sketch the feasible region for the model. What are the corner points? Show all constraints.c) Find the optimal solution using the corner points. I.e. How many ads of each type should be runin order to generate the increase in the sales of sedans, SUV’s and trucks in the least costly way.转自：http://ass.3daixie.com/2019012473396445.html