Suppose that a manufacturer produces two brands of a product, brand 1 and brand 2. Suppose the demand for brand 1 is thousand units and the demand for brand 2 is

/> thousand units, where p1 and p2 prices in dollars. If the joint cost function is , in thousands of dollars, how many of each brand should be produced to maximize profit?
?

A. 74 units of brand 182 units of brand 2
B. 9 units of brand 152 units of brand 2
C. 74 units of brand 152 units of brand 2
D. 14 units of brand 138 units of brand 2
E. 27 units of brand 177 units of brand 2

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Answer: D

Mathematics

?Complete the following chart of equivalents with a correct percent and fraction:  Decimal Percent Fraction 8.8  ? ? ?

A.

?Percent: 0.088%,  Fraction: 

?Percent: 8.8%,  Fraction: 

?Percent:  880%,  Fraction: 

?Percent:  880%,  Fraction: 

?Percent:  8.8%,  Fraction: 

Write two equivalent expressions for the opposite of the polynomial.-2x4 + x2 + 4x - 1

A. - , 2x⁴ + x² + 4x - 1
B. - , -2x⁴ - x² + 4x - 1
C. - , -2x⁴ - x² - 4x - 1
D. - , 2x⁴ - x² - 4x + 1

Find the expected value.You are given 14 to 1 odds against drawing two hearts when two cards are selected at random from a standard deck of 52 cards (with replacement of the first card before the second card is drawn). This means that you win $14 if you succeed and you lose $1 if you fail. Find the expected value (to you) of the game. Round to the nearest cent.

A. $2.75 B. -$0.06 C. $0.06 D. -$0.91

Determine the coordinates of the indicated point on the graph. J

A. (-3, 0) B. (0, 3) C. (3, 0) D. (0, -3)