In Exercises 15-20 we suggest the use of technology. Round all answers to two decimal places.
Maximize
Subject to
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Finite Mathematics and Applied Calculus (MindTap Course List)
- Q: A brand manager for ColPal Products must determine how much time to allocate between radio and television advertising during the next month. Market research has provided estimates of the audience exposure for each minute of advertising in each medium, which it would like to maximize. Costs per minute of advertising are also known, and the manager has a limited budget of $25,000. The manager has decided that because television ads have been found to be much more effective than radio ads, at least 75% of the time should be allocated to television.Suppose that we have the following data: a) Identify the decision variables, objective function, and constraints in simple verbal expressions. b) Mathematically formulate a linear optimization model. Note: Please clearly state the decision variables, objective function and constraints. The objective function and constraints should be written as a mathematical model using inequality or equality formulas. This question is interested in…arrow_forward1. Consumers at a ABC arrive at a rate of 45 per hr. There are three servers that can process customers at an average of 3 mins. (a) What is the average wait time? (b) What is the average number of customers waiting? (c) What is the average number of customers in the DMV? 2. A small entrepreneurial company is trying to decide between developing twodifferent products that they believe they can sell to two potential companies, one large andone small. If they develop Product A,they have a 50% chance of selling it to the largecompany with annual purchases of about 20,000 units.If the large company won't purchaseit, then they think they have an 80% chance of placing it with a smaller company, with salesof 15,000 units.On the other hand if they develop Product B, they feel they have a 40%chance of selling it to the large company, resulting in annual sales of about 17,000 units. If the large company doesn't buy it, they have a 50% chance of selling it to the small company with sales of…arrow_forwardA garden store prepares various grades of pine bark for mulch: nuggets (x1), mini-nuggets (x2), and chips (x3). The process requires pine bark, machine time, labor time, and storage space. The following model has been developed. Maximize 9x1 + 9x2+ 6x3 (profit) Subject to Bark 5x1 + 6x2 + 3x3 ≤ 600 pounds Machine 2x1 + 4x2 + 5x3 ≤ 600 minutes Labor 2x1 + 4x2 + 3x3 ≤ 480 hours Storage 1x1 + 1x2 + 1x3 ≤ 150 bags x1, x2, x3 ≥ 0 What is the new value of the objective function, if the profit on chips increases from $6 per bag to $7 per bag? The New Value Is=arrow_forward
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