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4 years ago

Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even

1 answer:

8 0

P(x) = R(x) - C(x) Breaking even is the point where revenue starts to overtake cost. It is, therefore, the point where P(x) = 0. Since these are all linear functions, you know that after that point the business is profitable. P(x) = 0R(x) - C(x) = 015000x - (9000x+72000) = 015000x - 9000x - 72000 = 06000x - 72000 = 06000x = 72000x = 72000/6000x = 12 At 12 units the business breaks even.

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ΔTOY has coordinates T (−3, 4), O (−4, 1), and Y (−2, 3). A translation maps point T to T' (−1, 1). Find the coordinates of O' a

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O'(-2,-2) and U'(0,0).

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ΔTOY has coordinates T (−3, 4), O (−4, 1), and Y (−2, 3).

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Indiras spring garden has half as many tulips as daffodils and three times as many hyacinths as tulips. If there are a total of

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Indira is having 34 tulips, 68 daffodils and 102 hyacinths , altogether 204 flowers in her spring garden.

Given, In Indira's springtime garden, there are three times more hyacinths than tulips and half as many daffodils as tulips.

let the number of tulips be = x

the number of daffodils be = y

the number of hyacinths be = z

hence according to the question,

tulips are (x) = 1/2 (y) = y/2

hyacinths are (z) = 3(x) = 3x

therefore, total flowers = 204

tulips ₊ daffodils ₊ hyacinths = 204

y/2 ₊ y ₊ 3x = 204

substitute x value in the above equation.

y/2 ₊ y ₊ 3(y/2) = 204

take LCM

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hence the number of daffodils is 68.

now substitute y value in x = y/2

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hence we get the number of tulips,daffodils and hyacinths as 34 , 68 and 102 respectively.

Learn more about Solving equations here:

brainly.com/question/13729904

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