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12 February, 15:12

The vector u = 3224, 1429, 2275 gives the numbers of hamburgers, chicken sandwiches, and cheeseburgers, respectively, sold at a fast-food restaurant in one week. The vector v = 1.50, 2.50, 1.90 gives the prices (in dollars) per unit for the three food items. Find the dot product u · v. (Round your answer to two decimal places.) $

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  1. 12 February, 15:20
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    u. v = $12,731.

    Step-by-step explanation:

    The dot product between two vectors, a and b, in which

    a = (c, d, e)

    b = (f, g, h)

    Is given by the following formula

    a. b = (c, d, e). (f, g, h) = cf + dg + eh.

    In this problem, we have that:

    u = (3224, 1429, 2275)

    v = (1.50, 2.50, 1.90)

    So

    u. v = (3224, 1429, 2275). (1.50, 2.50, 1.90) = 3224*1.50 + 1429*2.50 + 2275*1.90 = $12,731.
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