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MUF0141 Fund. Mathematics Unit 1 - Semester 1, 2025 Fundamental Maths Unit 1 Revision Questions for Swot Week
Multiple fill-in-the-blank
Question textAnswer the following questions by filling in the blanks. Don't use any spaces Give answers as fractions using the forward slash (e.g. 1/2 or 3/4) if the answer is not an integer. Do NOT use brackets unless specified. Use - for any negatives. This question is worth [1 + 1 + 3 + 2 + 1 = 8 marks]Monica starts a small business that produces and sells freshly baked cookies. Her monthly cost of production (\( C \)) in dollars is given by \( C=2n+1000 \), where \( n \) represents the number of cookies made by her in a given month.a. How much does it cost for an extra cookie to be produced?Answer : $ Answer 1 Question 4[input]The cookies are sold for \( $4 \) each.b. Using this information, write an equation for the revenue, \( R \).Answer : \( R= \) Answer 2 Question 4[input] \( n \)c. In order to break-even, the following equation needs to be solved (the equation is in the form of \( an=b \) where \( a \) and \( b \) are positive integers): Answer 3 Question 4[input] \( n \) = Answer 4 Question 4[input]therefore to break-even Answer 5 Question 4[input] cookies need to be sold per month.d. An expression for the total profit, \( P \), per month in terms of \( n \) is:\( P \) = Answer 6 Question 4[input] \( n \) \( - \) Answer 7 Question 4[input]e. Cookies were in high demand over the Christmas season. In December she was able to sell 3000 cookies. Calculate her profit for the month of December.Answer : \( P \) = $ Answer 8 Question 4[input]
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The problem asks you to fill in several blanks based on the cost function C = 2n + 1000, where n is the number of cookies produced in a month. I will walk through each part and explain what belongs in each blank, and why the resulting expressions are correct.
a. How much does it cost for an extra cookie to be produced?
- The cost function C = 2n + 1000 has a linear term 2n, where the coefficient 2 represents the variable cost per additional cookie. In other words, each additional cookie adds 2 dollars to the total cost, so the cost of producing one more cookie (the marginal cost) is 2.
- Therefore, Answer 1 should ......Login to view full explanationLog in for full answers
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