Repeat Problem 63 for the following systems: A 6 x − 5 y = 10 ( B ) 6 x − 5 y = 10 − 13 + 11 y = − 20 11 x + 8 y = 4 C 6 x − 5 y = 10 − 12 x + 10 y = − 20 bushels, and the annual demand is 2.0 billion bushels. When the price increases to $ 5.10 per bushel, the annual supply in-creases to 2.1 billion bushels, and the annual demand decreases to 1.8 billion bushels. Assume that the price-supply and price-demand equations are linear. (A) Find the price-supply equation. (B) Find the price-demand equation. (C) Find the equilibrium price and quantity. (D) Graph the two equations in the same coordinate system and identify the equilibrium point, supply curve, and demand curve.
Repeat Problem 63 for the following systems: A 6 x − 5 y = 10 ( B ) 6 x − 5 y = 10 − 13 + 11 y = − 20 11 x + 8 y = 4 C 6 x − 5 y = 10 − 12 x + 10 y = − 20 bushels, and the annual demand is 2.0 billion bushels. When the price increases to $ 5.10 per bushel, the annual supply in-creases to 2.1 billion bushels, and the annual demand decreases to 1.8 billion bushels. Assume that the price-supply and price-demand equations are linear. (A) Find the price-supply equation. (B) Find the price-demand equation. (C) Find the equilibrium price and quantity. (D) Graph the two equations in the same coordinate system and identify the equilibrium point, supply curve, and demand curve.
Solution Summary: The author explains how to determine whether the solution set for the three equations is nearly identical, graphically and by using substitution or elimination by addition.
A
6
x
−
5
y
=
10
(
B
)
6
x
−
5
y
=
10
−
13
+
11
y
=
−
20
11
x
+
8
y
=
4
C
6
x
−
5
y
=
10
−
12
x
+
10
y
=
−
20
bushels, and the annual demand is
2.0
billion bushels. When the price increases to
$
5.10
per bushel, the annual supply in-creases to
2.1
billion bushels, and the annual demand decreases to
1.8
billion bushels. Assume that the price-supply and price-demand equations are linear.
(A) Find the price-supply equation.
(B) Find the price-demand equation.
(C) Find the equilibrium price and quantity.
(D) Graph the two equations in the same coordinate system and identify the equilibrium point, supply curve, and demand curve.
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
Two construction companies are bidding against one another for the right to construct a new community center building. The first construction company, Fine Line Homes, believes that its competitor, Buffalo Valley Construction, will place a bid for this project according to the distribution shown in this table: Buffalo Valley's Bid Bid Probability $160,000 0.2 $165,000 0.5 $170,000 0.2 $175,000 0.1 Furthermore, Fine Line Homes estimates that it will cost $160,000 for its own company to construct this building. Given its fine reputation and long-standing service within the local community, Fine Line Homes believes that it will likely be awarded the project in the event that it and Buffalo Valley Construction submit exactly the same bids. Find the bid that maximizes Fine Line’s expected profit. Max expected profit $ ________ . Bid that maximizes profit $ ________ .
Find the area of the surface obtained by rotating the circle x² + y² = r² about the line y = r.
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Solve ANY Optimization Problem in 5 Steps w/ Examples. What are they and How do you solve them?; Author: Ace Tutors;https://www.youtube.com/watch?v=BfOSKc_sncg;License: Standard YouTube License, CC-BY
Types of solution in LPP|Basic|Multiple solution|Unbounded|Infeasible|GTU|Special case of LP problem; Author: Mechanical Engineering Management;https://www.youtube.com/watch?v=F-D2WICq8Sk;License: Standard YouTube License, CC-BY