Question

Hannah Ortega is considering expanding her business. She plans to hire a salesperson to cover trade shows. Because of compensation, travel expenses, and booth rental, fixed costs for a trade show are expected to be $15,990. The booth will be open 39 hours during the trade show. Ms. Ortega also plans to add a new product line, ProOffice, which will cost $184 per package. She will continue to sell the existing product, EZRecords, which costs $105 per package. Ms. Garcia believes that the salesperson will spend approximately 29 hours selling EZRecords and 10 hours marketing ProOffice. Required Determine the estimated total cost and cost per unit of each product, assuming that the salesperson is able to sell 76 units of EZRecords and 53 units of ProOffice. Determine the estimated total cost and cost per unit of each product, assuming that the salesperson is able to sell 200 units of EZRecords and 99 units of ProOffice.

Answer 1

Answer and Explanation:

The computation of the estimated total cost & the cost per unit is given below:

For 76 units & 52 units

For EZRecords

Total cost = Fixed cost + variable cost

where

Fixed cost = $15,990 × 29 hours ÷ 39 hours

= $11,890

And, the variable cost is

= 76 units × $105

= $7,980

So, the total cost is

= $11,890 + $7,980

= $19,870

And, the cost per unit is

= $19,870 ÷ 76 units

= $261.45

For Pro office

Total cost = Fixed cost + variable cost

where

Fixed cost = $15,990 × 10 hours ÷ 39 hours

= $4,100

And, the variable cost is

= 53 units × $184

= $9,752

So, the total cost is

= $4,100 + $9,752

= $13,852

And, the cost per unit is

= $13,850 ÷ 53 units

= $261.35

For 200 units & 99 units

For EZRecords

Total cost = Fixed cost + variable cost

where

Fixed cost = $15,990 × 29 hours ÷ 39 hours

= $11,890

And, the variable cost is

= 200 units × $105

= $21,000

So, the total cost is

= $11,890 + $21,000

= $31,890

And, the cost per unit is

= $31,890 ÷ 200 units

= $159.45

For Pro office

Total cost = Fixed cost + variable cost

where

Fixed cost = $15,990 × 10 hours ÷ 39 hours

= $4,100

And, the variable cost is

= 99 units × $184

= $18,216

So, the total cost is

= $4,100 + $18,216

= $22,316

And, the cost per unit is

= $22,316 ÷ 99 units

= $225.41