A) The demand function for the total revenue function TR = 50Q - 4Q² is;
P = 50 - 4Q
B) The demand function for the total revenue function TR = 10 is; 10/Q
We are given total revenue functions as;
TR = 50Q - 4Q²
TR = 10
A) TR = 50Q - 4Q²
Formula for revenue function if Q represents the units demanded is;
TR = P × Q
Where P is the demand function
Thus;
50Q - 4Q² = PQ
Divide both sides by Q to get the demand function;
P = 50 - 4Q
B) TR = 10
Formula for revenue function if Q represents the units demanded is;
TR = P × Q
Where P is the demand function
Thus;
10 = P × Q
Divide both sides by Q to get the demand function;
P = 10/Q
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