A tool manufacturer has fixed costs of $68.00 a day and variable costs of $1.00 per screwdriver

Mathematics

1 answer:

marin [14]3 years ago

4 0

Answer:

Step-by-step explanation:

To breakeven, the total cost of the company which is the sum of the fixed and variable cost will be equal to the total sales of the company such that the profit/loss is zero.

Let x be the number of screwdriver that must be produced daily to break even

Then

68 + 1 * x = 2.5 * x

68 + x = 2.5x

collect like terms

68 = 2.5x - x

1.5x = 68

Divide both sides by 1.5

x = 68/1.5

= 45.33

This would be approximated to 46 screws

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Vilka [71]

Answer:

Each orange would cost $0.64.

Step-by-step explanation:

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Given the position of the particle, what the position(s) of the particle when it’s at rest

choli [55]

The position function of a particle is given by:

$X\mleft(t\mright)=\frac{2}{3}t^3-\frac{9}{2}t^2-18t$

The velocity function is the derivative of the position:

$\begin{gathered} V(t)=\frac{2}{3}(3t^2)-\frac{9}{2}(2t)-18 \\ \text{Simplifying:} \\ V(t)=2t^2-9t-18 \end{gathered}$

The particle will be at rest when the velocity is 0, thus we solve the equation:

$2t^2-9t-18=0$

The coefficients of this equation are: a = 2, b = -9, c = -18

Solve by using the formula:

$t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

Substituting:

$\begin{gathered} t=\frac{9\pm\sqrt[]{81-4(2)(-18)}}{2(2)} \\ t=\frac{9\pm\sqrt[]{81+144}}{4} \\ t=\frac{9\pm\sqrt[]{225}}{4} \\ t=\frac{9\pm15}{4} \end{gathered}$

We have two possible answers: