Questions: The table below shows the number of each type of cookie, in dozens, that Karin sold in one week to two coffee shops. Mugsy's Coffee Shop The Coffee Club ---------------------------------------------------------- Chocolate Chip 7 9 Oatmeal 3 2 Peanut Butter 8 5 Karin's cost to make one dozen cookies is 2.00 for chocolate chip, 300 for oatmeal, and 3.50 for peanut butter. Complete parts (a) through (d) the cost, per dozen, of the ingredients for each type of cookie. Maintain the ordering of cookie types from the table. (Type an integer or decimal for each matrix element.) c) Find the product CS CS=[51 415]^7 (Type an integer or decimal for each matrix element.) d) State what the entries of CS represent A. The total cost, in dollars, of the ingredients for each shop B. The total number of cookies Karin makes for each shop C. The total cost, in dollars, of the ingredients for each cookie D. The total cost, in dollars, the customers pay at each shop

The table below shows the number of each type of cookie, in dozens, that Karin sold in one week to two coffee shops. Mugsy's Coffee Shop The Coffee Club ---------------------------------------------------------- Chocolate Chip 7 9 Oatmeal 3 2 Peanut Butter 8 5 Karin's cost to make one dozen cookies is 2.00 for chocolate chip, 300 for oatmeal, and 3.50 for peanut butter. Complete parts (a) through (d) the cost, per dozen, of the ingredients for each type of cookie. Maintain the ordering of cookie types from the table. (Type an integer or decimal for each matrix element.) c) Find the product CS CS=[51 415]^7 (Type an integer or decimal for each matrix element.) d) State what the entries of CS represent A. The total cost, in dollars, of the ingredients for each shop B. The total number of cookies Karin makes for each shop C. The total cost, in dollars, of the ingredients for each cookie D. The total cost, in dollars, the customers pay at each shop
Transcript text: The table below shows the number of each type of cookie, in dozens, that Karin sold in one week to two coffee shops. \begin{tabular}{|l|c|c|} \cline { 2 - 3 } \multicolumn{1}{c|}{} & \begin{tabular}{c} Mugsy's \\ Coffee Shop \end{tabular} & \begin{tabular}{c} The Coffee \\ Club \end{tabular} \\ \hline \begin{tabular}{l} Chocolate \\ Chip \end{tabular} & 7 & 9 \\ \hline Oatmeal & 3 & 2 \\ \hline \begin{tabular}{l} Peanut \\ Butter \end{tabular} & 8 & 5 \\ \hline \end{tabular} Karin's cost to make one dozen cookies is $\$ 2.00$ for chocolate chip, $\$ 300$ for oatmeal, and $\$ 3.50$ for peanut butter. Complete parts (a) through (d) the cost, per dozen, of the ingredients tor each type of cookie. Maintain the ordering of cookie types from the table. (Type an integer or decimal for each matrix element.) c) Find the product CS \[ \mathrm{CS}=\left[\begin{array}{ll} 51 & 415 \end{array}\right]^{7} \] (Type an integer or decimal for each matrix element.) d) State what the entries of CS represent A. The total cost, in dollars, of the ingredients for each shop B. The total number of cookies Karin makes for each shop C. The total cost, in dollars, of the ingredients for each cookie D. The total cost, in dollars, the customers pay at each shop
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Solution

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Solution Steps

To solve the problem, we need to calculate the total cost of cookies sold to each coffee shop. We will multiply the number of dozens of each type of cookie sold by the cost per dozen for that type. Then, we will sum these costs for each coffee shop to find the total cost for each shop.

Step 1: Calculate the Total Cost for Mugsy's Coffee Shop

To find the total cost of cookies sold to Mugsy's Coffee Shop, we multiply the number of dozens of each type of cookie by their respective costs per dozen and sum the results:

\[ \text{Total Cost for Mugsy's} = (7 \times 2.00) + (3 \times 3.00) + (8 \times 3.50) \]

Calculating each term:

  • Chocolate Chip: \(7 \times 2.00 = 14.00\)
  • Oatmeal: \(3 \times 3.00 = 9.00\)
  • Peanut Butter: \(8 \times 3.50 = 28.00\)

Summing these values gives:

\[ \text{Total Cost for Mugsy's} = 14.00 + 9.00 + 28.00 = 51.00 \]

Step 2: Calculate the Total Cost for The Coffee Club

Similarly, for The Coffee Club, we perform the same calculations:

\[ \text{Total Cost for The Coffee Club} = (9 \times 2.00) + (2 \times 3.00) + (5 \times 3.50) \]

Calculating each term:

  • Chocolate Chip: \(9 \times 2.00 = 18.00\)
  • Oatmeal: \(2 \times 3.00 = 6.00\)
  • Peanut Butter: \(5 \times 3.50 = 17.50\)

Summing these values gives:

\[ \text{Total Cost for The Coffee Club} = 18.00 + 6.00 + 17.50 = 41.50 \]

Final Answer

The total cost of the ingredients for each coffee shop is:

  • Mugsy's Coffee Shop: \(\boxed{51.00}\)
  • The Coffee Club: \(\boxed{41.50}\)
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