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The stores sell ten different styles of yoga pants with identical unit costs and selling prices. A unit is defined as one pair of yoga

The stores sell ten different styles of yoga pants with identical unit costs and selling prices. A unit is defined as one pair of yoga pants. Each store has a manager who is paid a fixed salary. Individual salespeople receive a fixed salary and a sales commission. The store is trying to determine the desirability of opening another store, which is expected to have the following revenue and cost relationships:

Per Pair

Unit variable data:

Selling price

$60

Cost of pants

$29.50

Sales commissions

$4.50

Total variable costs

$34

Annual fixed costs:

Rent

$260,000

Salaries

$200,000

Advertising

$90,000

Other fixed costs

$70,000

Total fixed costs

$620,000

  1. Refer to the original data. If the store manager were paid $1.30 per unit commission on each unit sold in excess of the breakeven point, what would be the stores operating profit if 70,000 units were sold? (This is $1.30 is in addition to both the commission paid to the sales staff and the store managers fixed salary.) (The breakeven point is calculated to be 23,846 units or $1,430,760)
  2. Calculate the number of units sold where the operating profit under (a)a fixed salary plan and (b) a lower fixed salary and commission plan (for salespeople only) would be equal. Above that number of units sold, one plan would be more profitable than the other; below that number of units sold, the reverse would occur.
  3. Calculate the operating profit or loss under each plan in question 7 (above) at a sales level of (a) 50,000 units and (b) 60,000 units.
  4. Suppose the target operating profit is $368,000. How many units must be sold to reach the target under (a) the fixed salary plan and (b) the lower fixed salary and commission plan?

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