1. What is the slope of 〖y=4x〗^0.5+10x^(2 ) when x=16?
2. What is the slope of y=〖100-6x〗^0.5 when x=6?
3. Given the demand function is q=〖(1200-2p)〗^0.5 What is the point elasticity of demand when quantity is 30? (hint: you should write p as a function of q and then take the derivative. Then use the elasticity formula.
4. Derive the TR and MR functions if q=200-0.4p. If TC=11q^3- 22q^2+30q+20 find the MC function.
5. If a firm faces TR and TC functions below at what output profit is Maximum
TR=300q-2q^2
TC=12q^3- 44q^2+60q+30
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