1. If wire solutions took a 30% mark-up on manufacturing cost of black shoe rack, then its selling price would be -
a. Manufacturing cost of Black shoe rack - $2.8/ rack (Given)
Add: 30% markup i.e. 30/100*2.8 = $0.84/rack
Hence, selling price will be $3.64/rack
b. Manufacturing cost of chrome shoe rack - $3.6/ rack (Given)
Add: 35% markup i.e. 35/100*3.6 = $1.26/rack
Hence, selling price will be $4.86/rack
2. Wire solution will sell Black shoe rack and chrome shoe rack for $3.64 and $4.86 each respectively. Hence, for Wal-mart, Cost of purchase of black shoe rack will be $3.64 and chrome Shoe rack will be $4.86 each respectively. Now, if Wal-mart takes 40% mark up on each rack, then selling price would be-
a. Purchase cost of Black shoe rack - $3.64/rack (As arrived above)
Add: 40% markup i.e. 40/100*3.64 = $1.456/rack
Hence, selling price will be $5.096/rack
b. Purchase cost of chrome shoe rack - $4.86/rack (As arrived above)
Add: 40% markup i.e. 40/100*4.86 = $1.944/rack
Hence, selling price will be $6.804/rack
3. Let say variable cost of chrome shoe rack is $2.2 / rack - (Given in question)
It will take 35% markup on manufacturing cost as arrived in point number 1 above i.e selling price will be 4.86/rack
Therefore, contribution per rack can be calculated as below:
Selling price of rack = $4.86
Variable cost of rack = $2.2
Therefore, Contribution / rack = $4.86-$2.2 = $2.66
Now, Administrative overhead cost given is $95000/year
therefore, to achieve break even point company will need to sell $95000/$2.66 = 35715 (rounded off) units per year of chrome shoe rack.
4. Here, question does not clarify whether the mark up of retailers is on purchase cost or selling price. hence, answer for both the scenarios is given below:
If Mark up is on Purchase cost of retailers:
Wire solution wants this rack to be sold at $9.99 to consumers. Now, let us say, purchase cost of chrome rack to retailers is A. Therefore, mark up for retailers will be 45/100*A = 0.45A
We know that, Cost + Mark up = Selling price.
therefore, A+0.45A = $9.99
i.e. 1.45A = $9.99
I.e. A = 6.89(rounded off)
Hence, purchase cost for retailers can be $6.89 which means Wire solutions can sell it for $6.89/rack
In such a case, mark up percentage for wire solution will be-
Mark up = $6.89-$3.6 = $3.29/rack i.e.
Mark up on manufacturing cost = $3.29/$3.6*100 = 91.39% or
Mark up selling price will be = $3.29/$6.89*100 = 47.75
b. If Mark up is on selling price:
Wire solution wants this rack to be sold at $9.99 to consumers. Therefore, mark up for retailers will be 45/100*$9.99=$4.49
We know that, Cost = Selling price - mark up
therefore, Cost = $9.99 - $4.49 = $5.5
Hence, purchase cost for retailers can be $5.5 which means Wire solutions can sell it for $5.5/rack
In such a case, mark up percentage of wire solutions will be-
Mark up = $5.5-$3.6 = $1.9/rack i.e.
Mark up on manufacturing cost = $1.9/$3.6*100 = 52.77% or
Mark up selling price will be = $1.9/$5.5*100 = 34.54%
price setting: wire solution manufacturing cost for shoe rack: black: $2.80 chrome: $3.60 selling retail in...