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3 years ago

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Sales tax is calculated A. based on the number of items purchased. B. using a percentage of the price of an item. C. before a sa

le discount is applied. D. as a percentage based on federal law.

1 answer:

Lelechka [254]3 years ago

5 0

Answer:

B. using a percentage of the price of an item

Explanation:

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There would a shift to the right of the supply curve. The equilibrium price would decrease and the equilibrium quantity would increase.

<h3>What is the impact of technological improvement?</h3>

Technological improvement in the production process means that there is an advancement or update in the technologies that are used in the production process. For example, progress from storing information in files to storing information in the cloud is an example of technological improvement.

A technological improvement in the production of a good would make it easier to produce a good. Thus, the supply curve would move forward.

Equilibrium quantity would increase. Due to the increase in quantity supplied, price has to decline in order to induce consumers to buy more of the product. Equilibrium price would decrease.

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3 years ago

The owner of an orange grove must decide when to pick one variety of oranges. She can sell them for $27 a bushel if she sells th

uysha [10]

Answer:

The oranges should be picked in 2 weeks for maximum return

Explanation:

We assume that the return of the owner is y ($)

Assume that the number of weeks the oranges should be picked to have maximum return is x (weeks). (x≥0)

If collect now, the price for each bushel is $27

As the price per bushel decrease by $1.50 per bushel each week

=> After x weeks, the price of a bushel decrease: 1.5x ($)

=> The price of 1 bushel after x weeks is: 27 - 1.5x ($)

If collect now, each tree can yield 7 bushels

As the yield increases by half a bushel per week for the next 5 weeks

=> After x weeks with x ≤ 5, each trees would yields: 7 + 0.5x (bushels)

The return = The price of each bushes × The quantity of bushels

=> $y = (27-1.5x)(7+0.5x)$

⇔ $y= 27 (7 +0.5x) - 1.5x(7+0.5x) = 189 + 13.5x - 10.5x - 0.75x^{2}$

⇔ $y = -0.75x^{2} +3x +189$

We have: if the equation has the form of $y =ax^{2} +bx +c$ with a≠0, its maximum value is: $max y = c - \frac{b^{2} }{4a}$

In the equation $y = -0.75x^{2} +3x +189$ , we have: a = -0.75; b = 3; c = 189

=> $max y = c -\frac{b^{2} }{4a} = 189 - \frac{3^{2} }{4.(-0.75)} = 189 - \frac{9}{-3} = 189 - (-3) = 189+3 = 192$

To look for the number of weeks, we should find x (0≤x≤5) with which y = 192

$192 = -0.75x^{2} +3x +189$

⇔ $-0.75x^{2} + 3x + 189 - 192 = 0$

⇔ $-0.75 x^{2} + 3x - 3 =0$

⇔ $-0.75x^{2} + 4*0.75x - 0.75*4 =0$

⇔ $x^{2} -4x + 4 = 0$

⇔ $(x-2)^{2} = 0$

⇔ x = 2

The oranges should be picked in 2 weeks for maximum return

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3 years ago