Pregunta
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FROM DWEDRENT GOMFANIES. 1. Mafu 1j5h School is in apod of a new photocopying machine. The School Governing Body (SOB) of Mafs High Sethool requeste the Grade 11 Muthematical liferacy chats to imvestgate varlous thethens from different suppliers to find the moat atfordablo photocopying machine for the nchool. The ANNEXURE attached shows quotations frou four different companies. You will need the information in these quotations to answer the quedions. Study QUOTATION 1 in the ANNEXURE and answer the questions that follow. 1.1 Explain the tern "quotation" according to the context. (2) 1.2 Use the amounts in quotation 1 and write down the formula that cen be used to determine the total monthly cost to make " \( n \) " copies, (Where \( n \) is the number of copies made). (2) 1.3 Write the acronym VAT in full, and explain what VAT is. (4) 1.4 One of the SGB members of Mafu High School states that the school will pay the same amount if 5000 copies are made per month, whether you first calculate the VAT on the rent and price per copy before you get The total, as opposed to when you first add the total cost and then add VAT. Use calculations to verify if this statement made by the SQB mumber is correct or not. Complete TABLE 1 and TABLE 2, as well as the additional values at TABLE 2, as part of your investigation. Use the tables on the answer shect for this. Do not round off any of your answers, unless stated Othenvise (last column of table 2). 1. 5 Use TABLE 2 and draw a graph of total monthly cost (rounded to the nearest whole number) against number of copies made for the first quotation by CC Copiers on the grid provided on the ANSWER SHEET.

Ask by Paul Mckenzie. in South Africa
Feb 19,2025

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1.1 A "quotation" is a formal offer from a supplier detailing the prices and terms for goods or services. 1.2 The formula to calculate the total monthly cost for \( n \) copies is: \[ \text{Total Cost} = \text{Fixed Rental Cost} + (\text{Cost per Copy} \times n) \] 1.3 VAT stands for Value Added Tax, which is an indirect tax applied at each stage of production and distribution. 1.4 To verify the SGB member's statement, calculate the total cost using both methods: - **Method 1:** Calculate VAT on the rental cost and the cost per copy separately, then add them to the total. - **Method 2:** Add the rental cost and the cost per copy first, then calculate VAT on the total. If both methods result in the same total cost, the statement is correct. 1.5 Complete TABLE 1 and TABLE 2 with the necessary calculations, then plot the total monthly cost against the number of copies on the provided grid.

Solución

To solve the problem, we will follow the steps outlined in the prompt. However, since the specific details of QUOTATION 1 and the tables are not provided, I will guide you through the process of answering each question based on typical scenarios. ### 1.1 Explain the term "quotation" according to the context. A "quotation" in this context refers to a formal statement provided by a supplier that outlines the prices and terms for goods or services. It typically includes details such as the cost of the product, any additional fees (like VAT), and the conditions of sale. The purpose of a quotation is to inform the buyer of the expected costs before making a purchase decision. ### 1.2 Write down the formula that can be used to determine the total monthly cost to make "n" copies. Assuming the quotation includes a fixed rental cost and a variable cost per copy, the formula for the total monthly cost \( C \) can be expressed as: \[ C = R + (P \times n) \] Where: - \( C \) = Total monthly cost - \( R \) = Fixed rental cost - \( P \) = Cost per copy - \( n \) = Number of copies made ### 1.3 Write the acronym VAT in full, and explain what VAT is. VAT stands for "Value Added Tax." It is a type of indirect tax that is imposed at each stage of the production and distribution process. VAT is charged on the value added to goods and services at each stage of production or distribution. Businesses collect VAT on behalf of the government, and it is typically included in the final price paid by consumers. ### 1.4 Verify the statement regarding VAT calculations. To verify the statement, we need to calculate the total cost in two different ways: 1. **Calculate VAT on the rent and price per copy first, then add to the total.** 2. **Add the total cost first, then calculate VAT on the total.** Assuming: - Fixed rental cost \( R \) - Cost per copy \( P \) - VAT rate \( v \) (e.g., 15%) - Number of copies \( n = 5000 \) **Method 1: Calculate VAT on each component first** 1. Calculate VAT on the rental cost: \[ \text{VAT on Rent} = R \times v \] 2. Calculate VAT on the cost per copy: \[ \text{VAT on Copies} = (P \times n) \times v \] 3. Total cost: \[ \text{Total Cost} = R + (P \times n) + \text{VAT on Rent} + \text{VAT on Copies} \] **Method 2: Calculate total first, then add VAT** 1. Total cost before VAT: \[ \text{Total Cost Before VAT} = R + (P \times n) \] 2. Calculate VAT on the total: \[ \text{Total Cost After VAT} = \text{Total Cost Before VAT} \times (1 + v) \] Now, we can compare the results from both methods to see if they yield the same total cost. ### 1.5 Draw a graph of total monthly cost against the number of copies made. To draw the graph, you would typically plot the total monthly cost calculated from the formula in 1.2 against various values of \( n \) (the number of copies). You would use the values from TABLE 2 to create the data points for the graph. Since I do not have the specific values from the tables, you would need to fill in the data based on the calculations you perform and then plot the points on the provided grid. If you have specific values from QUOTATION 1 or the tables, please provide them, and I can assist you further with calculations and graphing.

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Quotations in a business context are offers from suppliers outlining the price and terms for products or services. They usually include details like quantities, pricing, conditions of sale, and any additional costs, which helps purchasers like the SGB of Mafu High School make informed financial decisions. Essentially, it's a way for schools or businesses to compare different options before making a commitment! To determine the total monthly cost for making \( n \) copies, the formula can be crafted as follows: **Total Cost = Fixed Monthly Rent + (Price per Copy × n) + VAT** Here, the Fixed Monthly Rent is the cost associated with operating the photocopying machine, Price per Copy is the cost per individual copy, and VAT is the Value-Added Tax that applies to the overall purchase. Now you’re on your way to solving some cost conundrums!

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