Determine Whether the Linear Transformation T Is One-To-One and Whether $15 \mathrm {~g}$

question 67

Multiple Choice

Determine whether the linear transformation T is one-to-one and whether it maps as specified.
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Betty would like to prepare a meal using some combination of these three foods. She would like the meal to contain $15 \mathrm {~g}$ of protein, $25 \mathrm {~g}$ of carbohydrate, and $3 \mathrm {~g}$ of fat. How many units of each food should she use so that the meal will contain the desired amounts of protein, carbohydrate, and fat? Round to 3 decimal places.

• A) \(0.326\) units of Food 1, \(0.247\) units of Food 2, \(0.059\) units of Food 3
• B) \(0.280\) units of Food 1, \(0.192\) units of Food 2, \(0.164\) units of Food 3
• C) \(0.360\) units of Food 1, \(0.204\) units of Food 2, \(0.055\) units of Food 3
• D) \(0.302\) units of Food 1, \(0.238\) units of Food 2, \(0.085\) units of Food 3

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Definitions:

Deferred Tax Assets

The amounts of income taxes recoverable in future periods in respect of deductible temporary differences, carryforward of unused tax losses, and carryforward of unused tax credits.

Taxable Temporary Difference

The difference between the tax base of an asset or liability and its carrying amount in the financial statements that will result in taxable amounts in future periods.

Deferred Tax Asset

An accounting term that refers to a situation where a company has paid more taxes to the government than it has shown as an expense in its financial statements, leading to future tax savings.

Deferred Tax Liability

A tax obligation that a company owes but is allowed to pay at a later date, often due to timing differences between accounting practices and tax laws.