Answer:
Value of x maximising profit : x = 5
Explanation:
Cost : C(x) = x^3 - 6x^2 + 13x + 15 ; Revenue: R(x) = 28x
Profit : Revenue - Cost = R(x) - C(x)
28x - [x^3 - 6x^2 + 13x + 15] = 28x - x^3 + 6x^2 - 13x - 15
= - x^3 + 6x^2 + 15x - 15
To find value of 'x' that maximises total profit , we differentiate total profit function with respect to x & find that x value.
dTP/dx = - 3x^2 + 12x + 15 = 0 ► 3x^2 - 12x - 15 = 0
3x^2 + 3x - 15x - 15 = 0 ► 3x (x +1) - 15 (x + 1) = 0 ► (x+1) (3x-15) = 0
x + 1 = 0 ∴ x = -1 [Rejected, production quantity cant be negative] ;
3x - 15 = 0 ∴ 3x = 15 ∴ x = 15/3 = 5
Double derivate : d^2TP/dx^2 = - 6x + 12
d^2TP/dx^2 i.e - 6x + 12 at x = 5 is -6(5) + 12 = - 30+ 12 = -8 which is negative. So profit function is maximum at x = 5
Answer:
$7,816.9943
Explanation:
Using the high-low method;variable cost per unit=[Total cost at highest level-Total cost at lowest level]/(Highest level-Lowest level)
= $16,700 - $15,850 / 951 - 860
= $850 / 91
= $9.340659340659341
= $9.3407
Hence, total fixed cost = $16,700 - ($9.3407*951) = $16,700 - $8,883.0057 = $7,816.9943
Answer:
If a price is too high to clear the market, that means the quantity of supplies have exceeded the amount that is demanded.
Explanation:
Have a great summer :)
Answer:
. All countries can gain from trade if they all specialize in production according to comparative advantage
Explanation:
Comparative advantage is when a country produces a product at a lower opportunity cost when compared with its trading partners.
Absolute advantage is when a country produces more quantities of goods and services than its trading partners.
A country can still have comparative advantage in production if opportunity cost is increasing once it's opportunity cost doesn't become greater than that of its trading partners.
A country can have comparative advantage without having absolute advantage.
I hope my answer helps you.
Answer:
The correct answer is Contrast and repetition.
Explanation:
Contrast: it has to do with sensory stimuli that allow highlighting elements or areas in a composition through the opposition or difference between them, that is, in a graphic design, a contrast is generated when there is a notable difference between two elements.
Repeat: the repetition is nothing more than identical identical forms that appear more than once in the design, that is to say, it would be a question of using the same element several times and distributed throughout the composition.
It is very important to resort to repetition especially when we are designing a graphic product that consists of several pages (catalog, magazine, etc.).
The repetition gives unity to the whole design, consistency and cohesion. Sometimes even on single page products, such as a diptych or triptych, it gives the feeling of continuity and that everything is "well tied". However, it should not be exceeded in its use. Repeating one or two graphic patterns is fine, but after three it would not be correct.
