DSC1520
EXAM PACK
FOR ASSISTANCE WITH THIS MODULE +27 67 171 1739
,MAY JUNE
EXAM
2023
,Question 1
𝑇𝑅 = 𝑃. 𝑄 = 𝑃(30 − 𝑃)
𝑻𝑹 = 𝟑𝟎𝑷 − 𝑷𝟐
𝑻𝑪 = 𝟔𝟎 + 𝟔𝑸 (𝑖𝑛 𝑡𝑒𝑟𝑚𝑠 𝑜𝑓 𝑄)
𝑀𝐶 = 𝑇𝐶 ′ = 𝟔
𝑇𝐶 = 60 + 6(30 − 𝑃)
𝑇𝐶 = 60 + 180 − 6𝑃
𝑇𝐶 = 240 − 6𝑃 (𝑖𝑛 𝑡𝑒𝑟𝑚𝑠 𝑜𝑓 𝑃)
𝑀𝐶 = 𝑑𝑒𝑟𝑖𝑣𝑎𝑡𝑖𝑣𝑒 𝑜𝑓 𝑇𝐶
𝑀𝐶 = 𝑇𝐶 ′ = −𝟔 (𝑖𝑛 𝑡𝑒𝑟𝑚𝑠 𝑜𝑓 𝑃)
, Question 2
Consider the following total revenue and cost functions of a firm.
𝑭𝒊𝒏𝒅 𝑻𝑹 𝒂𝒏𝒅 𝑻𝑪 𝒘𝒉𝒆𝒏 𝒒 = 𝟏𝟎
𝑇𝑅 = 100𝑞 − 2𝑞 2
𝑇𝑅 = 100(10) − 2(10)2 = 𝟖𝟎𝟎
𝑞3
𝑇𝐶 = − 18𝑞 2 + 164𝑞 + 200
6
(10)3
𝑇𝐶 = − 18(10)2 + 164(10) + 200 = 𝟐𝟎𝟔, 𝟔𝟕
6
𝑃𝑟𝑜𝑓𝑖𝑡 = 𝑇𝑅 − 𝑇𝐶 ≈ 𝑹𝟓𝟗𝟑
EXAM PACK
FOR ASSISTANCE WITH THIS MODULE +27 67 171 1739
,MAY JUNE
EXAM
2023
,Question 1
𝑇𝑅 = 𝑃. 𝑄 = 𝑃(30 − 𝑃)
𝑻𝑹 = 𝟑𝟎𝑷 − 𝑷𝟐
𝑻𝑪 = 𝟔𝟎 + 𝟔𝑸 (𝑖𝑛 𝑡𝑒𝑟𝑚𝑠 𝑜𝑓 𝑄)
𝑀𝐶 = 𝑇𝐶 ′ = 𝟔
𝑇𝐶 = 60 + 6(30 − 𝑃)
𝑇𝐶 = 60 + 180 − 6𝑃
𝑇𝐶 = 240 − 6𝑃 (𝑖𝑛 𝑡𝑒𝑟𝑚𝑠 𝑜𝑓 𝑃)
𝑀𝐶 = 𝑑𝑒𝑟𝑖𝑣𝑎𝑡𝑖𝑣𝑒 𝑜𝑓 𝑇𝐶
𝑀𝐶 = 𝑇𝐶 ′ = −𝟔 (𝑖𝑛 𝑡𝑒𝑟𝑚𝑠 𝑜𝑓 𝑃)
, Question 2
Consider the following total revenue and cost functions of a firm.
𝑭𝒊𝒏𝒅 𝑻𝑹 𝒂𝒏𝒅 𝑻𝑪 𝒘𝒉𝒆𝒏 𝒒 = 𝟏𝟎
𝑇𝑅 = 100𝑞 − 2𝑞 2
𝑇𝑅 = 100(10) − 2(10)2 = 𝟖𝟎𝟎
𝑞3
𝑇𝐶 = − 18𝑞 2 + 164𝑞 + 200
6
(10)3
𝑇𝐶 = − 18(10)2 + 164(10) + 200 = 𝟐𝟎𝟔, 𝟔𝟕
6
𝑃𝑟𝑜𝑓𝑖𝑡 = 𝑇𝑅 − 𝑇𝐶 ≈ 𝑹𝟓𝟗𝟑
