The listing agreement in which a broker is entitled to a commission no matter who sells the property is known as

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Problem page a medical equipment industry manufactures x-ray machines. the unit cost c (the cost in dollars to make each x-ray machine) depends on the number of machines made. if x machines are made, then the unit cost is given by the function =cx+−0.3x2126x31,935 . how many machines must be made to minimize the unit cost?

Juan's investment portfolio was valued at $125,640 at the beginning of the year. during the year, juan received $603 in interest income and $298 in dividend income. juan also sold shares of stock and realized $1,459 in capital gains. juan's portfolio is valued at $142,608 at the end of the year. all income and realized gains were reinvested. no funds were contributed or withdrawn during the year. what is the amount of income juan must declare this year for income tax purposes?