Solve Using a System of Three Linear Equations

question 93

Multiple Choice

Solve using a system of three linear equations.
-A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours to prepare, 2 hours to paint, and 9 hours to fire. A tree takes 14 hours to prepare, 3 hours to paint, and 4 hours to
Fire. A sleigh takes 4 hours to prepare, 16 hours to paint, and 7 hours to fire. If the workshop has 109 hours for
Prep time, 81 hours for painting, and 122 hours for firing, How many of each can be made?

• A)3 wreaths, 9 trees, 5 sleighs
• B)9 wreaths, 5 trees, 3 sleighs
• C)5 wreaths, 3 trees, 9 sleighs
• D)10 wreaths, 6 trees, 4 sleighs

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Definitions:

Ledger Balance

The balance of a bank account at the start of each day, including all deposits and withdrawals that have been posted to the account.

Miller-Orr Model

A model used to manage cash balances by setting upper and lower limits on cash reserves, triggering transfers to optimize interest and liquidity.

Upper Limit

The maximum level or boundary allowed or possible, often used in the context of production, spending, or other types of limits.

Cash Concentration

A treasury management strategy where a company consolidates its cash balances into one account to optimize liquidity and manage its cash more efficiently.