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Uriah owns a café, and they sell lasagna for a lunch time meal. It costs them $30 in raw materials with $25.20 in fixed costs and $4.80 in variable costs per pan to create their lasagna. Uriah used to get 24 pieces per pan, but they decided to reduce the size of the pieces and now can get 40 pieces per pan. They charge $6 per piece. What are their unit costs for the pan with 24 pieces and the pan with 40 pieces?Select answer from the options below$1.67 and $0.34$1.25 and $0.67$1.52 and $0.76$1.25 and $0.75

Question

Uriah owns a café, and they sell lasagna for a lunch time meal. It costs them 30inrawmaterialswith30 in raw materials with 25.20 in fixed costs and 4.80invariablecostsperpantocreatetheirlasagna.Uriahusedtoget24piecesperpan,buttheydecidedtoreducethesizeofthepiecesandnowcanget40piecesperpan.Theycharge4.80 in variable costs per pan to create their lasagna. Uriah used to get 24 pieces per pan, but they decided to reduce the size of the pieces and now can get 40 pieces per pan. They charge 6 per piece. What are their unit costs for the pan with 24 pieces and the pan with 40 pieces?Select answer from the options below1.67and1.67 and 0.341.25and1.25 and 0.671.52and1.52 and 0.761.25and1.25 and 0.75

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Solution 1

To calculate the unit cost, we need to add the fixed costs and variable costs, then divide by the number of units produced.

For the pan with 24 pieces: Total cost = Raw materials + Fixed costs + Variable costs Total cost = 30+30 + 25.20 + 4.80=4.80 = 60 Unit cost = Total cost / number of units Unit cost = 60/24=60 / 24 = 2.50

For the pan with 40 pieces: Total cost = Raw materials + Fixed costs + Variable costs Total cost = 30+30 + 25.20 + 4.80=4.80 = 60 Unit cost = Total cost / number of units Unit cost = 60/40=60 / 40 = 1.50

So, none of the options provided are correct. The unit costs for the pan with 24 pieces and the pan with 40 pieces are 2.50and2.50 and 1.50 respectively.

This problem has been solved

Solution 2

To calculate the unit cost, we need to add the fixed costs and variable costs, then divide by the number of units (pieces of lasagna).

For the pan with 24 pieces: The total cost is 30(rawmaterials)+30 (raw materials) + 25.20 (fixed costs) + 4.80(variablecosts)=4.80 (variable costs) = 60. So, the unit cost is 60/24=60 / 24 = 2.50 per piece.

For the pan with 40 pieces: The total cost is the same, 60.So,theunitcostis60. So, the unit cost is 60 / 40 = $1.50 per piece.

However, none of the provided options match these calculations. There might be a mistake in the question or the provided options.

This problem has been solved

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