Price–supply. The marginal price dp / dx at x units of supply per day is proportional to the price p. There is no supply at a price of $20 per unit [ p (0) = 20], and there is a daily supply of 40 units at a price of $23.47 per unit [ p (40) = 23.47]. (A) Find the price– supply equation. (B) At a supply of 100 units per day, what is the price? (C) Graph the price–supply equation for 0 ≤ x ≤ 250.
Price–supply. The marginal price dp / dx at x units of supply per day is proportional to the price p. There is no supply at a price of $20 per unit [ p (0) = 20], and there is a daily supply of 40 units at a price of $23.47 per unit [ p (40) = 23.47]. (A) Find the price– supply equation. (B) At a supply of 100 units per day, what is the price? (C) Graph the price–supply equation for 0 ≤ x ≤ 250.
Price–supply. The marginal price dp/dx at x units of supply per day is proportional to the price p. There is no supply at a price of $20 per unit [p(0) = 20], and there is a daily supply of 40 units at a price of $23.47 per unit [p(40) = 23.47].
(A) Find the price– supply equation.
(B) At a supply of 100 units per day, what is the price?
(C) Graph the price–supply equation for 0 ≤ x ≤ 250.
The biological relationship between the growth for the fish population and the size of the fish population is
g = 15S(1-S/5)
where g is the growth of the fish population and S is the size of the population. The size of the harvest is a function of the amount of human effort expended
b = 3ES
where E is the level of effort. Market price of fish per unit is $100 and a constant marginal cost of effort is $50.
The equation representing a sustainable harvest/catch level, b s, in S is b s =
S(1 - S/
).
An object is shot vertically upward from the ground with an initial velocity of 224 ft/sec. For vertical motion near the Earth's surface, acceleration due to gravity is -32 feet per second squared. (The negative means that acceleration is downward.)
(a) Explain why the graph of velocity of the object against time is linear.
O The graph of velocity is linear because the acceleration is decreasing at a constant rate.
O The graph of velocity is linear because the velocity is increasing at a constant rate.
O The graph of velocity is linear because the velocity is decreasing at a constant rate.
The graph of velocity is linear because the velocity is constant.
The graph of velocity is linear because the acceleration is increasing at a constant rate.
(b) Using the starting velocity and your answer to part (b), find the time at which the object reaches the highest point.
sec
(c) Use your answer to part (c) to decide when the object hits the ground.
sec
(d) Graph the velocity against time. Mark…
(2) The number q of roller blades a firm is willing to sell per week at a price of $p is given by
q = 60/p+25 +300 for 20
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (13th Edition)
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