A fixed cost of $50 thousand was incurred in setting up an operation. At time t months thereafter, the operation yields income at the rate of (20 – 0.3t) and incurs expenses at the rate of (10 – 0.1t); where both are in thousands of dollars per month. Sketch the graph. What is the optimal time to terminate the operation? What will total profit be at the optimal time of termination?
: A fixed cost of $50 thousand was incurred in setting up an operation. At time t months thereafter, the operation yields income at the rate of (20 – 0.3t) and incurs expenses at the rate of (10 – 0.1t); where both are in thousands of dollars per month. Sketch the graph.
- What is the optimal time to terminate the operation?
- What will total profit be at the optimal time of termination?
Q#5: At
Q#6: The demand function for a product is Pd(q) = 80 / (0.2 q + 1)2 , where q is in millions of tons and Pd (q) is in dollars per ton. Market equilibrium occurs at a demand for 15 million tons. Compute
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