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QuestionFind the monthly expenses for ABC electronics as a function of units produced, given \$2.50 per unit, \$350 utilities, and \$3,300 salaries.

Studdy Solution

STEP 1

Assumptions1. The cost per unit to produce a part is $.50\$.50 . The monthly operating expenses for utilities is $350\$350
3. The monthly operating expenses for salaries is $3,300\$3,300
4. The total monthly expenses is the sum of the cost to produce all units, the utilities expenses, and the salaries expenses

STEP 2

First, we need to define the cost to produce all units in a month. This is done by multiplying the cost per unit by the number of units produced.
Cost of production=Cost per unittimesNumber of unitsCost\, of\, production = Cost\, per\, unit \\times Number\, of\, unitsLet's denote the number of units as xx.
Cost of production=$2.50timesxCost\, of\, production = \$2.50 \\times x

STEP 3

Next, we need to calculate the total monthly expenses. This is done by adding the cost of production, the utilities expenses, and the salaries expenses.
Total monthly expenses=Cost of production+Utilities expenses+Salaries expensesTotal\, monthly\, expenses = Cost\, of\, production + Utilities\, expenses + Salaries\, expenses

STEP 4

Now, plug in the values for the cost of production, utilities expenses, and salaries expenses to calculate the total monthly expenses.
Total monthly expenses=$2.50timesx+$350+$3,300Total\, monthly\, expenses = \$2.50 \\times x + \$350 + \$3,300

STEP 5

We can simplify the above equation to get the monthly expenses as a function of the number of units they produce that month.
Total monthly expenses=$2.50x+$3,650Total\, monthly\, expenses = \$2.50x + \$3,650So, the company's monthly expenses as a function of the number of units they produce that month is $2.50x+$3,650\$2.50x + \$3,650.

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