In: Operations Management
Can someone please answer this and please type the answers for these.
1. Assume that TexCo is a widget manufacturer. It costs TexCo $62 (parts and labor) to manufacture each unit, and it incurs fixed overhead of $2.5 million per year. If TexCo prices the widgets using a 40% markup on cost, how many widgets must it sell annually in order to break even? Show your work?
2. Based on your answer to #1, if TexCo actually sells 150,000 units this year, what will its net profit be? Show your work.
3. Flip’s Flops, a small retailer located in South Padre Island, purchases “Sea Turtle” brand flip flops at a cost of $12 per pair. If the manager prices the flip flops using a 60% “markup on price”, what is the selling price to consumers?
4. Assume that it is nearing the end of the summer, and the Flip’s Flops still has a large number of “Sea Turtle” flip flops in the store. If the manager marks the price of the flip flops down by 40%, what is the new selling price of this item?
5. Peaks is a snowboard manufacturer, and is working on a new, high-end board to sell to retail stores. These boards will have a suggested retail price of $749. If Peaks knows that these retailers price their boards using a 50% "markup on retail", and Peaks wants to be able to achieve a 60% "markup on cost", what is the most that it can spend, per unit, to produce this board?
1.
Variable cost per unit (v) = $62
Annual fixed cost (F) = $2500,000
Selling price (s) = Cost + Cost * % markup on cost = 62 + 62*40% = $86.8
Break-even unit = F / (s - v) = 2500,000 / (86.8 - 62) = 100,807 units (rounded up)
2.
Actual volume = 150,000
So, net profit = 150000*(s - v) - F = 150000*(86.8 - 62) - 2500000 = $1,220,000
3.
Unit variable cost (v) = $12
Selling price = Unit variable cost / (1 - Markup %) = 12 / (1 - 0.60) = $30
4.
Unit variable cost (v) = $12
Markup % is now 40% or 0.40
Selling price = Unit variable cost / (1 - Markup %) = 12 / (1 - 0.40) = $20
5.
Retail price = $749
Markup % on retail price = 50%
Retail price = Wholesale price / (1 - Markup % on retail price) or, Wholesale price = 749*(1 - 0.5) = $374.5
Markup % on cost = 60%
Wholesale price (s) = Unit cost * (1 + % Markup on cost) or, Unit cost = 374.5 / (1 + 0.6) = $234
So, the company can at most keep the unit cost equal to $234.