This table shows the cost of producing ice cream for several manufacturers.

\begin{tabular}{|c|c|c|}
\hline Manufacturer & Amount Produced & Cost \\
\hline The Dairy & 100 gallons & \text{missing cost} \\
\hline Ice Cream, Inc. & 100 gallons & \[tex]$10 \\
\hline Frozen Treats & 150 gallons & \$[/tex]15 \\
\hline Bob \& Gary's & \text{missing amount} & \$12 \\
\hline
\end{tabular}



Answer :

To determine the missing values in the table, let's analyze the given data step-by-step.

1. Cost for "The Dairy":
- "The Dairy" produces 100 gallons of ice cream, but the cost is not provided.
- "Ice Cream, Inc." produces 100 gallons of ice cream at a cost of [tex]$10. - To find the cost for "The Dairy," we can assume the cost per gallon is the same as that for "Ice Cream, Inc." - Cost per gallon for "Ice Cream, Inc." = \(\frac{\$[/tex]10}{100 \text{ gallons}} = \[tex]$0.1 \text{ per gallon}\). - Therefore, the cost for "The Dairy" producing 100 gallons would be: \[ 100 \text{ gallons} \times \$[/tex]0.1 \text{ per gallon} = \[tex]$10.0 \] 2. Amount Produced by "Bob & Gary's": - "Bob & Gary's" has a production cost of $[/tex]12, but the amount produced is not provided.
- "Frozen Treats" produces 150 gallons of ice cream at a cost of [tex]$15. - To find the amount produced by "Bob & Gary's," we can assume a similar cost per gallon for consistency. - Cost per gallon for "Frozen Treats" = \(\frac{\$[/tex]15}{150 \text{ gallons}} = \[tex]$0.1 \text{ per gallon}\). - Therefore, to find the amount produced by "Bob & Gary's" with a cost of $[/tex]12, we divide the total cost by the cost per gallon:
[tex]\[ \frac{\$12}{\$0.1 \text{ per gallon}} = 120 \text{ gallons} \][/tex]

Thus, the completed table with the calculated values is:

[tex]\[ \begin{array}{|c|c|c|} \hline \text{Manufacturer} & \text{Amount Produced} & \text{Cost} \\ \hline \text{The Dairy} & 100 \text{ gallons} & \$10.0 \\ \hline \text{Ice Cream, Inc.} & 100 \text{ gallons} & \$10 \\ \hline \text{Frozen Treats} & 150 \text{ gallons} & \$15 \\ \hline \text{Bob \& Gary's} & 120 \text{ gallons} & \$12 \\ \hline \end{array} \][/tex]

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