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High efficiency battery for hand-held devices.

Scenario

A tech company has developed a new compact, high efficiency battery for hand-held devices. Market projections have estimated the cost and revenue of manufacturing these batteries by the equations graphed attached below.

Assessment Instructions

Show and explain all steps in your responses to the following parts of the assignment. All mathematical steps must be formatted using the equation editor.

Part 1: Use the substitution method to determine the point where the cost equals the revenue.

Part 2: Interpret your results from Part 1 in the context of the problem.

Part 3: Do your results from Part 1 correspond with the graph? Explain.

Part 4: Profit is found by subtracting cost from revenue. Write an equation in the same variables to represent the profit.

Part 5: Find the profit from producing 75 thousand batteries.

Sample Solution

on of what qualifies to be a combatant, and whether it is lawful to kill each other as combatants. Combatants are people who are involved directly or indirectly with the war and it is lawful to kill ‘to shelter the innocent from harm…punish evildoers (Begby et al (2006b), Page 290).However, as mentioned above civilian cannot be harmed, showing combatants as the only legitimate targets, another condition of jus in bello, as ‘we may not use the sword against those who have not harmed us (Begby et al (2006b), Page 314).’ In addition, Frowe suggested combatants must be identified as combatants, to avoid the presence of guerrilla warfare which can end up in a higher death count, for example, the Vietnam War. Moreover, he argued they must be part of the army, bear arms and apply to the rules of jus in bello. (Frowe (2011), Page 101-3). This suggests Frowe seeks a fair, just war between two participants avoiding non-combatant deaths, but wouldn’t this lead to higher death rate for combatants, as both sides have relatively equal chance to win since both use similar tactics? Nevertheless, arguably Frowe will argue that combatant can lawfully kill each other, showing this is just, which is also supported by Vittola, who states: ‘it is lawful to draw the sword and use it against malefactors (Begby et al (2006b), Page 309).’ In addition, Vittola expresses the extent of military tactics used, but never reaches a conclusion whether it’s lawful or not to proceed these actions, as he constantly found a middle ground, where it can be lawful to do such things but never always (Begby et al (2006b), Page 326-31). This is supported by Frowe, who measures the legitimate tactics according to proportionality and military necessity. It depends on the magnitude of how much damage done to one another, in order to judge the actions after a war. For example, one cannot simply nuke the terrorist groups throughout the middle-east, because it is not only proportional, it will damage the whole population, an unintended consequence. More importantly, the soldiers must have the right intention in what they are going to achieve, sacrificing the costs to their actions. For example: if soldiers want to execute all prisoners of war, they must do it for the right intention and for a just cause, proportional to the harm done to them. This is supported by Vittola: ‘not always lawful to execute all combatants…we
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