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Economics & Math: Equilibrium, Cost, Revenue, Profit, Break-Even, Papers of Mathematics

A collection of economics and mathematics problems aimed at finding market equilibrium points, cost and revenue functions, profit functions, and break-even quantities. The problems involve various equations and require the application of algebra and graphical analysis. Students and lifelong learners interested in economics, mathematics, or business may find this document useful for studying, summarizing, or practicing problem-solving skills.

Typology: Papers

Pre 2010

Uploaded on 08/18/2009

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Download Economics & Math: Equilibrium, Cost, Revenue, Profit, Break-Even and more Papers Mathematics in PDF only on Docsity! 10. Given supply is p = q + 350 and demand is p = 550 - 10q a. Find the Market Equilibrium Point (q,p):_________________ Draw the first quadrant graph below or on separate paper 11. The variable cost of producing a palm pilot is $48 with fixed costs of $5890. The phone sells for $110. a. Find the Cost function_____________________________________ b. Find the Revenue function_____________________________________ c. Find the Profit function_______________________________________ d. Find the Break-Even quantity (x)__________________ 12. An investor earns $370 on two bonds, one paying 9.5% and the other paying 12%. If he has $3500 to invest, how much was invested in each bond? 8. You will invest $64000 in two types of rental units. You want to earn $10890 per year in order to pay taxes and insurance. How much will you invest in each if one unit earns a 15% return and the other one earns an 18% return? 9. Fixed costs per month for a small company is $1650 and the variable cost of their product is $24. If each item sells for $57 each, find the following: a. The Revenue Function: ___________________________ b. The Cost Function: _______________________________ c. The Profit Function: ______________________________ d. The Break-even quantity 10. The Supply function for a product is p = 6q + 125 The Demand function for that product is p = -2q +341 Find the Market Equilibrium point (q,p) Lance Armstrong must consume 17000 calories each day during the Tour de France. If the calories are split requiring 11900 calories from carbs and 5100 calories from protein, how many ounces of the following foods should he eat per day. One ounce of spaghetti with meat sauce gives 250 calories of carbs and 50 calories in protein. Each ounce of a chicken salad sandwich gives 100 calories of carbs and 100 calories of protein.
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