***URGENT*** can somebody please solve. I need part c of the first picture for minimum operating cost as $2,389.60 is wrong. And I need the answer for part a in the second photo as 82,000 and 87,000 is wrong. Thank you very urgent.
A consumer product company makes two types of dishwasher detergents: regular and concentrate. The company has two manufacturing facilities for making detergent products. The first facility has an operating cost of $ 122.5 an hour and can produce 300 ounces of regular detergent products per hour and 220 ounces of concentrate detergent per hour. The second facility has an hourly operating cost of $ 220.0 and produces 350 ounces of regular detergent and 450 ounces of concentrate detergent per hour. The company received wholesale orders totaling 4,500 ounces of regular detergent and 5,200 ounces of concentrate detergent.
a. Formulate and solve the LP model that minimizes costs given the constraints. How many hours should the company operate each facility in order to fulfill the orders and minimize the operating cost? (Round your answers to 2 decimal places.)
| |
|
| The number of hours the company should operate the first facility |
3.53 |
| The number of hours the company should operate the second facility |
9.83 |
| Minimum operating cost |
$ 8,595.04 |
b. Identify each binding constraint and report the shadow price and the range of feasibility. (Round your answers to 2 decimal places.)
| |
Shadow Price |
Range of Feasibility
From To
|
| Regular detergent constraint |
Binding |
$ 0.12 |
4,044.44 |
7,090.91 |
| Comprehensive detergent constraint |
Binding |
$ 0.40 |
3,300.00 |
5,785.71 |
c. If the hourly operating cost of the second facility is reduced to $ 200, how many hours should the company operate each facility? What is the minimum operating cost in this scenario? (Round your answers to 2 decimal places.)
| |
|
| The number of hours the company should operate the first facility |
3.53 |
| The number of hours the company should operate the second facility |
9.83 |
| Minimum operating cost |
_________ |
Exercise 13-39 Algo
An online apparel retailer runs regular marketing campaigns on social media channels such as Facebook and Instagram. The retailer is considering four social media marketing campaigns on Facebook, Instagram, Pinterest, and Twitter for the four weeks prior to the December holiday season. However, due to its limited marketing budget, the retailer cannot run all four proposed campaigns. The following table describes the weekly cost (in $ 1,000) and the expected numbers of consumers each campaign will reach (in 1,000).
a. Formulate and solve the IP model to determine which of the four marketing campaigns the retailer should run in order to maximize the number of consumers reached, without going over its budget. What is the maximum number of consumers that the retailer can reach?
| Maximum number of consumers reached |
$ 82.000 |
b. Which social media channels should the retailer use in order to maximize the number of consumers reached?
| |
|
| Facebook |
Yes, run a marketing campaign |
| Instagram |
Yes, run a marketing campaign |
| Pinterest |
No, don't run a marketing campaign |
| Twitter |
Yes, run a marketing campaign |
