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DSC1520 ASSIGNMENT 3 SEMESTER 2 of 2020

Name: DSC1520 ASSIGNMENT 3 SEMESTER 2 of 2020
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Institution: University of South Africa (Unisa)
Course: DSC1520 - Quantitative Modelling I (DSC1520)

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Uploaded on: July 18, 2020
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Written in: 2019/2020
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dsc1520 2020 assignment 3
dsc1520 assignment 3 semester 2 of 2020

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QUANTITATIVE MODELLING (DSC1520)
ASSIGNMENT 3
SEMESTER 2 (2020)

𝑄 = 40 − 0,2𝑃; 𝐹𝐶 = 1 000; P = 15

𝑉𝐶 = 15𝑄 = 15(40 − 0,2𝑃 ) = 600 − 3𝑃

𝑇𝑜𝑡𝑎𝑙 𝐶𝑜𝑠𝑡 (𝑇𝐶 ) = 𝑉𝐶 + 𝐹𝐶 = 6000 − 3𝑃 + 1 000 = 1 600 − 3𝑃

𝑇𝑜𝑡𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒 (𝑇𝑅) = 𝑃𝑄 = 𝑃 (40 − 0,2𝑃 ) = 40𝑃 − 0,2𝑃 2
𝑃𝑟𝑜𝑓𝑖𝑡 = 𝑇𝑅 − 𝑇𝐶 = 40𝑃 − 0,2𝑃 2 − (1 600 − 3𝑃 ) = 40𝑃 − 0,2𝑃 2 − 1 600 + 3𝑃
= −0,2𝑃 2 + 43𝑃 − 1 600

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