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Assume That the Rate of Change of the Unit Price

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Assume that the rate of change of the unit price of a commodity is proportional to the difference between the demand and the supply so that Assume that the rate of change of the unit price of a commodity is proportional to the difference between the demand and the supply so that   ​ where k is a constant of proportionality. Suppose that D=74-5p, S=2+3p, and p(0)=2. Find a formula for p(t). ​ where k is a constant of proportionality. Suppose that D=74-5p, S=2+3p, and p(0)=2. Find a formula for p(t).


Definitions:

Call Option

In finance, it refers to a pact allowing the acquiring party the opportunity, without being forced, to purchase assets like securities, bonds, or commodities at a price that is determined beforehand, within a certain time limit.

Exercise Price

The price at which an option holder may buy or sell the underlying security, as specified in the option contract.

Outstanding Debt

The total amount of borrowed money that a company or individual has yet to repay to creditors, including all principal and interest payments due.

Risk-Free Rate

The theoretical rate of return of an investment with zero risk, serving as a benchmark for measuring financial assets' risk.

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