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  2. Why is the average cost curve "U" shaped? - Socratic

    socratic.org/questions/why-is-the-average-cost-curve-u-shaped

    The average cost curve is composed of different costs. Thus, the total “averagecost curve starts at a high point, decreases to some minimum point and then increases again. Some costs are greatest early in the lifecycle, but decrease over time. Others are minimal early in the lifecycle, but increase with time. Thus, the total “averagecost curve starts at a high point, decreases to ...

  3. Percent of Change - Algebra - Socratic

    socratic.org/algebra/linear-equations/percent-of-change

    The average cost for a gallon of gasoline increased from $2.56 one year to $3.18 the next year. What is the percent of increase, rounded to the nearest whole number? A concert ticket that originally cost $18.50 is on sale for $14.00.

  4. How do you find the value of x that gives the minimum average...

    socratic.org/questions/how-do-you-find-the-value-of-x-that-gives-the-minimum...

    Your function is a quadratic and can be represented by a PARABOLA (basically the shape of an "U" upwards or downwards oriented). Your parabola is in the shape of "U" because the coeficient of x^2 is >0. You basically are looking for a minimum (the vertex) of your parabola (the bottom of your "U" shape) and the corresponding x value. To find this you have various methods: 1) plot your function ...

  5. The cost function for a product is C(x)=0.8x^2 +120x+110 ... -...

    socratic.org/questions/the-initial-position-of-a-particle-at-t-0-is-x-10-m-the...

    The average cost over this interval may be given by. #C_(avg)=1/(600-0)int_0^600C(x)dx#

  6. A commodity has a demand function modeled by p = 122 − 0 ... -...

    socratic.org/questions/a-commodity-has-a-demand-function-modeled-by-p-122-0-5x...

    Non-calculus note as soon as we see that P(x) is quadratic, we know that the parabola has maximum value at the vertex, where x=72. To find the price, use p = 122 − 0.5x and x=72 to find the price. Average cost is barC(x) = C(x)/x Use C(x) = 50x + 33.75 ans x=72# to answer the question.

  7. Rate of Change of a Function - Calculus - Socratic

    socratic.org/calculus/derivatives/rate-of-change-of-a-function

    It tells you how distance changes with time. For example: 23 km/h tells you that you move of 23 km each hour. Another example is the rate of change in a linear function. Consider the linear function: y = 4x +7. the number 4 in front of x is the number that represent the rate of change. It tells you that every time x increases of 1, the ...

  8. Can the average fixed cost ever be zero? - Socratic

    socratic.org/questions/can-the-average-fixed-cost-ever-be-zero

    In economics, average fixed cost (AFC) is the fixed costs of production (FC) divided by the quantity (Q) of output produced. Fixed costs are those costs that must be incurred in fixed quantity regardless of the level of output produced.

  9. Jasmine bought 7 yards of fabric. The total cost was $45.43 ... -...

    socratic.org/questions/jasmine-bought-7-yards-of-fabric-the-total-cost-was-45...

    What was the average cost per yard of the fabric she bought? Algebra. 1 Answer ruthvera Jan 13, 2016 #A= 6 ...

  10. How does the law of diminishing returns affect a firm's cost of...

    socratic.org/questions/how-does-the-law-of-diminishing-returns-affect-a-firm-s...

    The marginal cost of supplying an extra unit of output is linked with the marginal productivity of labour. The law of diminishing returns implies that marginal cost will rise as output increases. Eventually, rising marginal cost will lead to a rise in average total cost. In economics, diminishing returns refers to production in the short run ...

  11. A company manufactures and sells DVD's. Here are the ... -...

    socratic.org/questions/a-company-manufactures-and-sells-dvd-s-here-are-the...

    a. Revenue: #R(x)="number of dvd"xx"selling price"=n(x)xxp(x)=x xx(11.5-0.07x)=11.5x-0.07x^2# b. Cost: here I think that the variable costs are the #0.07x# that appear in the daily price representing perhaps costs connected to demand and delivery (you need to order more dvds of an artist because there is more demand....for example); so we get: