Suppose the supply function for product X is given by Qxs = 30 + 2Px 4Pz.
How much of product X is produced when Px = $600 and Pz = $60?
How much of product X is produced when Px = $80 and Pz = $60?
Suppose Pz = $60. Determine the supply function and inverse supply function for good X. Graph the inverse supply function.
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.
References
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 Studies, 4(8), 487.
Verdicchio, M. (2015). Irony and Desire in Dante’s” Inferno” 27. Italica, 285-297.
Sample Answer
Sample Answer
Analyzing the Supply Function for Product X
In this analysis, we will explore the supply function for product X and investigate the quantity of product X produced at different price levels when Px and Pz are given.
Quantity of Product X Produced
1. When Px = $600 and Pz = $60:
[ Q_{xs} = 30 + 2(600) – 4(60) ]
[ Q_{xs} = 30 + 120 – 240 ]
[ Q_{xs} = -90 ]
When Px = $600 and Pz = $60, the quantity of product X produced is -90 units. This negative value suggests a discrepancy in the supply function calculation at these price levels.
2. When Px = $80 and Pz = $60:
[ Q_{xs} = 30 + 2(80) – 4(60) ]
[ Q_{xs} = 30 + 160 – 240 ]
[ Q_{xs} = -50 ]
At Px = $80 and Pz = $60, the quantity of product X produced is -50 units, indicating a potential issue with the supply function’s accuracy.
Determining Supply Function and Inverse Supply Function
Given Pz = $60, the supply function for product X is:
[ Q_{xs} = 30 + 2P_x – 4(60) ]
[ Q_{xs} = 30 + 2P_x – 240 ]
[ Q_{xs} = -210 + 2P_x ]
The inverse supply function can be calculated by solving for Px in terms of Qxs:
[ Q_{xs} = -210 + 2P_x ]
[ Q_{xs} + 210 = 2P_x ]
[ P_x = \dfrac{Q_{xs} + 210}{2} ]
Graphing the Inverse Supply Function
To graph the inverse supply function, we can use the equation derived above:
[ P_x = \dfrac{Q_{xs} + 210}{2} ]
By plotting this equation with Px on the y-axis and Qxs on the x-axis, we can visualize the relationship between price and quantity supplied. The positive slope of the inverse supply curve indicates that as the price of product X increases, the quantity supplied also increases.
Understanding the supply function and its implications for production levels at different price points is essential for businesses to optimize their operations and pricing strategies. By analyzing various scenarios and considering market dynamics, companies can make informed decisions to adapt to changing conditions effectively.
