Mexician Foods operates a plant in Texco, a Mexican state of Guerro, for manufacturing taco sauce
used in fast­food restaurants. The sauce, which is packaged in plastic containers, is made from a
special recipe that includes tomato concentrate, onions, and chilli peppers that Mexician
purchases from various suppliers. The plant operates 365 days a year and Mexician uses an annual
holding cost rate of 17%.
Tomato Concentrate
Mexician Foods purchases its tomato concentrate from Organic Farms. The company requires
2,540 gallons of concentrate per day to produce this sauce. Organic Farms offers customers the
following all units price discount schedule:
Number of Gallons Ordered Price per Gallon ($)
1­9,999 3.12
10,000 – 49,999 3.08
50,000 – 124,999 3.02
125,000 – 249,999 3.00
250,000 or more 2.96
The shelf life of the concentrate is 80 days and the ordering cost is $760. Orders must be placed in
1200­gallon increments. The lead time for delivery is 10 days. Management wishes to determine the
optimal ordering policy for the concentrate.
In the cooking process, the amount of onion required weekly follows a normal distribution with
mean 16,210 pounds and standard deviation 4,100 pounds. Onions cost $0.15 per pound. If any are
left over at the end of the week, they are unusable and thrown away. If management at Mexician
find themselves running short of onions, they would need to make an emergency purchase from a
local supermarket. They would have to pay the retail cost of onion at $0.95 per pound. Management
wants to determine the optimal order policy for onions.
Chilli Peppers
Mexician also needs an estimated 2,100 pounds of chilli peppers daily. The peppers cost $0.37 per
pound. Order cost, including transportation, is $1,500. Lead time is normally two weeks but may
vary somewhat. Because of this variability, the company estimates that the lead time demand for
chilli peppers follows approximately a normal distribution with mean of 28,100 pounds and a
standard deviation of 4,000 pounds. Management wants to determine the optimal ordering policy
for chilli peppers to meet a desired service level of 99%.
Plastic Containers
Mexician packages the sauce in one­ounce plastic containers it buys from Polymer Plastics
Company at $0.003 per unit. The ordering cost is $130. Mexician is contemplating leasing a
machine to make the containers. The yearly lease cost of the machine is $45,000, and the
production setup cost of the machine is $260. The machine can produce 1.1 million containers
per day at a per unit cost of $0.0027 (excluding leasing, inventory holding and production setup
costs). The company estimates that it requires 453,000 containers per day. Management wants to
determine whether it should continue purchasing containers from Polymer Plastics Company or
begin in­house production and what the optimal policy should be.
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Case 2: Global Travel Agency (50%)
Having run a successful travel agency in Lugano, Switzerland, Sara Bally has decided to open a
branch in Bern, Switzerland. She must decide where to locate her office and which and how many
employees to hire.
Sara has narrowed her choice of office to two locations. The one on Nordweg Road is a large office
with space for virtually any number of employees and customers. Sara estimates that the agency
can attract an average of 13 customers per day at this location. Rent for this office is Swiss Franc
1,200 per month. Utilities, insurance and other expenses should average an additional Swiss Franc
520 per month.
The second choice for an office is on Zeltweg Street, approximately two blocks off Nordweg Road.
This is a much smaller office that can effectively only hold one worker and at most four customers
(including the one being served). It rents for Swiss Franc400 per month. Utilities, insurance, and
other expenses should average an additional Swiss Franc 200 per month. The out­of­the­way
location would reduce the number of potential customers by 20% and any arriving customer finding
the office full will presumably take his or her business to the other travel agency in town.
Sara has decided that if she opens the Nordweg Road office, she will hire one or more local
employees to staff the office. If she opens the Zeltweg Street office, however, she will hire either
Wendy Green, an experienced travel agent form the Bern area, or a local employee to staff the
office. Sara would have to pay Wendy a monthly salary (including benefits) of Swiss Franc 2,100,
whereas she could hire local employees for Swiss Franc 1,200 per month (including benefits).
Because of her experience, Wendy’s average customer service time is approximately 20 minutes,
compared to 48 minutes for local employees.
Sara estimates that each customer served by the Global Travel Agency will result in an average
commission of Swiss Franc 35. She also estimates a goodwill cost to the firm of Swiss Franc 15 per
hour for the time a customer spends waiting in the office for service to begin. In addition, goodwill
costs of Swiss Franc 50 are associated with any customers who find the Zeltweg Street location full
and leave to go to another travel agency.
The travel agency will be open an average of 20 days per month, eight hours each day. Customers
arrive according to a Poisson process, and customer service times follow an exponential distribution.
Determine the most cost effective option for Global Travel Agency.




Sample Solution

Sample solution

Dante Alighieri played a critical role in the literature world through his poem Divine Comedy that was written in the 14th century. The poem contains Inferno, Purgatorio, and Paradiso. The Inferno is a description of the nine circles of torment that are found on the earth. It depicts the realms of the people that have gone against the spiritual values and who, instead, have chosen bestial appetite, violence, or fraud and malice. The nine circles of hell are limbo, lust, gluttony, greed and wrath. Others are heresy, violence, fraud, and treachery. The purpose of this paper is to examine the Dante’s Inferno in the perspective of its portrayal of God’s image and the justification of hell. 

In this epic poem, God is portrayed as a super being guilty of multiple weaknesses including being egotistic, unjust, and hypocritical. Dante, in this poem, depicts God as being more human than divine by challenging God’s omnipotence. Additionally, the manner in which Dante describes Hell is in full contradiction to the morals of God as written in the Bible. When god arranges Hell to flatter Himself, He commits egotism, a sin that is common among human beings (Cheney, 2016). The weakness is depicted in Limbo and on the Gate of Hell where, for instance, God sends those who do not worship Him to Hell. This implies that failure to worship Him is a sin.

God is also depicted as lacking justice in His actions thus removing the godly image. The injustice is portrayed by the manner in which the sodomites and opportunists are treated. The opportunists are subjected to banner chasing in their lives after death followed by being stung by insects and maggots. They are known to having done neither good nor bad during their lifetimes and, therefore, justice could have demanded that they be granted a neutral punishment having lived a neutral life. The sodomites are also punished unfairly by God when Brunetto Lattini is condemned to hell despite being a good leader (Babor, T. F., McGovern, T., & Robaina, K. (2017). While he commited sodomy, God chooses to ignore all the other good deeds that Brunetto did.

Finally, God is also portrayed as being hypocritical in His actions, a sin that further diminishes His godliness and makes Him more human. A case in point is when God condemns the sin of egotism and goes ahead to commit it repeatedly. Proverbs 29:23 states that “arrogance will bring your downfall, but if you are humble, you will be respected.” When Slattery condemns Dante’s human state as being weak, doubtful, and limited, he is proving God’s hypocrisy because He is also human (Verdicchio, 2015). The actions of God in Hell as portrayed by Dante are inconsistent with the Biblical literature. Both Dante and God are prone to making mistakes, something common among human beings thus making God more human.

To wrap it up, Dante portrays God is more human since He commits the same sins that humans commit: egotism, hypocrisy, and injustice. Hell is justified as being a destination for victims of the mistakes committed by God. The Hell is presented as being a totally different place as compared to what is written about it in the Bible. As a result, reading through the text gives an image of God who is prone to the very mistakes common to humans thus ripping Him off His lofty status of divine and, instead, making Him a mere human. Whether or not Dante did it intentionally is subject to debate but one thing is clear in the poem: the misconstrued notion of God is revealed to future generations.



Babor, T. F., McGovern, T., & Robaina, K. (2017). Dante’s inferno: Seven deadly sins in scientific publishing and how to avoid them. Addiction Science: A Guide for the Perplexed, 267.

Cheney, L. D. G. (2016). Illustrations for Dante’s Inferno: A Comparative Study of Sandro Botticelli, Giovanni Stradano, and Federico Zuccaro. Cultural and Religious Studies4(8), 487.

Verdicchio, M. (2015). Irony and Desire in Dante’s” Inferno” 27. Italica, 285-297.