GoGo Ltd. is based in Bangor and manufactures luxury perfume. Over the past three years, GoGo has witnessed a decline in sales. In an attempt to save the company, GoGo’s Managing Director has announced a potential joint venture agreement with a company based in China. A Chinese company, Mei Gui Luxury perfume Ltd., has expressed an interest in using GoGo’s technical expertise and patented technology, to produce luxury perfume.

If the agreement is executed GoGo will provide 60% of the total capital of 60 million Chinese Yuans to set-up a local production facility. 30 million Yuans, included within the total capital, will be for working capital and the remainder for depreciable fixed assets.

The agreement will be for a period of 4 years. Thereafter, Mei Gui Luxury perfume will buy GoGo’s share of the venture for a sum of 10 million Yuans.

The joint venture agreement would give GoGo an 75% share in the profits and losses.

The luxury perfume is expected to sell in China for a price of 450 Yuans per unit in year 1. Prices will then increase by the expected rate of inflation in China. It is expected 70,000 units with be sold in China in the first year, rising by 10% per year for the next three years.

The joint venture would also sell an expected 30,000 units per year to Cyprus at a constant price of 30 Euros (€) per unit. GoGo currently exports similar luxury perfumes to Cyprus, providing a pre-tax contribution of £100,000 per year. Because of the cheaper price of luxury perfume manufactured in China it is expected that 60% of these exports would be lost.

Provision of initial technical assistance would cost GoGo £90,000, and ongoing aid would cost £30,000 per year in salaries, at current prices. Neither would be tax allowable expenses in China, although the salaries would be tax allowable in the UK. Use of the patent would have no cash cost but would mean that the patent could not be sold to another company which was willing to pay a constant sum of £55,000 per year for the patent.

In year 1, direct costs in China will be 200 Yuans per un

the distance from any point on the parabola to the focus is the exact same as the distance from that point to the directrix.

if you could provide answer choices that might allow me to answer the question easier if my above answer isn't an option! (:

answer: learning objective(s)

·         describe the creation and use of systems of equations.

·         graph a system of linear equations on the coordinate plane and identify its solution.

introduction

sometimes graphing a single linear equation is all it takes to solve a mathematical problem. other times, one line just doesn’t do it, and a second equation is needed to model the situation. this is often the case when a problem involves two variables. solving these kinds of problems requires working with a system of equations, which is a set of two or more equations containing the same unknowns.

let’s take a look at systems of equations, and see what the graphs of individual equations within a system reveal about the mathematical relationship of the variables.

systems of equations

a system of equations contains two or more linear equations that share two or more unknowns. to find a solution for a system of equations, we must find a value (or range of values) that is true for all equations in the system.

the graphs of equations within a system can tell us how many solutions exist for that system. look at the images below. each show two lines that make up a system of equations (in the graph on the right the two lines are superimposed and look like a single line). how many points in common does each system of lines reveal?

one solution

no solutions

infinite solutions

if the graphs of the equations intersect, then there is one solution that is true for both equations.

if the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.

if the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

remember, the graph of a line represents every point that is a possible solution for the equation of that line. so when the graphs of two equations cross, the point of intersection lies on both lines, meaning that it is a possible solution for both equations. when the graphs of two equations never touch, there are no shared points and there are no possible solutions for the system. when the graphs of two equations lie on top of one another, they share all their points and every one is a possible solution.

graphing as a solution method

graphing equations in order to identify a specific point of intersection is usually not a precise way to solve systems because it is often difficult to see exactly where two lines intersect (unless you are using a computer-based graphing program that allows you to zoom in on a point). however, the graph of a system of equations can still give a good idea of what type of solution, if any, exists. let’s graph a system, and see how it works.

graph the system y = 3x and x + 2y = 4. how many solutions does this system have?

a graph of the two lines y = 3x and x + 2y = 4 shows us that the lines intersect, meaning that there is a single (x, y) value that satisfies both equations. looking at the graph does not tell us exactly where that point is, but we don’t need to know that information here, because the question only asks for the number of solutions.

so a system made of two intersecting lines has one solution. now let’s look at a different situation:

how many solutions exist for the system y -0.5x = 7 and 2y = x − 3?

plotting both equations, it looks like there is no solution—the lines are parallel. to check this finding, we can compare the slopes of the equations. to make that easy, we’ll rearrange the equations into slope-intercept form, or y = mx + b.   that gives us the equations y = 0.5x + 7 and y = 0.5x − 1.5.   yes, the slope of both lines is 0.5, which means the lines really are parallel. they never intersect, so there is no point that lies on both lines, and no solution to the system.

step-by-step explanation:

answer: dead jah

step-by-step explanation:

bullet + jah= dead jah