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3 years ago

Kenny and Ben start competing businesses selling hats. Kenny buys supplies, costing $3, before he starts selling his

Mathematics

1 answer:

Alex73 [517]3 years ago

5 0

9514 1404 393

Answer:

(8, 1)

Step-by-step explanation:

Let x represent the number of hats sold by each seller.

Kenny's cost: $3

Kenny's revenue: $0.50x

Kenny's profit = revenue - cost: y = 0.50x -3

Ben's cost: $1

Ben's revenue: $0.25x

Ben's profit = revenue - cost: y = 0.25x -1

The profit and sales will be the same when the same (x, y) values satisfy both profit equations.

y = 0.50x -3

y = 0.25x -1

0.50x -3 = 0.25x -1 . . . . . substitute for y

0.25x = 2 . . . . . . . . . . . add 3-0.25x

x = 8 . . . . . . . . . . multiply by 4

y = 0.25x -1 = 2 -1 = 1 . . . using Ben's profit equation

The profit and sales will be the same for ...

(hats, profit) = (8, 1)

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Answer:

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Step-by-step explanation:

Consider the given differential equation is

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Taking all variables on right sides.

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$y(1+x)+x-5\ln xy=C$

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