should be solve by using excel solver. please also provide formula as well.

CASE STUDY Designing the Production Network at CoolWipes Matt O'Grady, vice president of supply chain at save the company significant amounts in transportation CoolWipes, thought that his current production and dis- expense in the future. tribution network was not appropriate, given the significant increase in transportation costs over the past few years. Compared to when the company had set up its production facility in Chicago, transportation costs had CoolWipes was founded in the late 1980s and produced increased by a factor of more than four and were baby wipes and diaper ointment. Annual demand for the expected to continue growing in the next few years. A two products was as shown in Table 5-14. At that time, quick decision on building one or more new plants could the company had one factory in Chicago that produced both products for the entire country. The wipes line in the Matt had to decide whether to build a new plant and if so, Chicago facility had an annual capacity of 5 million units, which production lines to put into the new plant. an annualized fixed cost of $5 million a year, and a variable cost of $10 per unit. The ointment line in the Chi- Study Questions cago facility had an annual capacity of 1 million units, an 1. What is the annual cost of serving the entire nation from annualized fixed cost of $1.5 million a year, and a variChicago? able cost of $20 per unit. The transportation costs per unit 2. Do you recommend adding any plant(s)? If so, where (for both wipes and ointment) are shown in Table 5-15. should the plant(s) be built and what lines should be included? Assume that the Chicago plant will be main- New Network Options tained at its current capacity but could be run at lower utilization. Would your decision be different if transportation Matt had identified Princeton, New Jersey; Atlanta; and costs are half of their current value? What if they were Los Angeles as potential sites for new plants. Each new double their current value? plant could have a wipes line, an ointment line, or both. A 3. If Matt could design a new network from scratch (assume new wipes line had an annual capacity of 2 million units, he did not have the Chicago plant but could build it at the an annual fixed cost of $2.2 million, and a variable pro- cost and capacity specified in the case), what production duction cost of $10 per unit. A new ointment line had an networkwouldyourecommend?AssumethatanynewplantsbuiltbesidesChicagowouldbeatthecostandcapac- annual capacity of 1 million units, an annual fixed cost of ity specified under the new network options. Would your $1.5 million, and a variable cost of $20 per unit. The cur- decision be different if transportation costs were half of their rent transportation costs per unit are shown in Table 5-15. current value? What if they were double their current value? Tak