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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).

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Definitions:

Respondeat Superior

A rule of law which makes an employer or principal accountable for an employee's or agent's wrongful actions, provided those actions were performed during the course of their employment or agency.

Delegatee

A person or party to whom duties or powers are delegated by another, often in a legal or organizational context.

Mortgages

Loans secured by real property, typically real estate, that borrowers use to purchase property or borrow against the value of property they already own.

Leases

Legal agreements that grant the right to use or occupy property for a specified period of time in exchange for rent.

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