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Sheridan, Inc., sells two types of water pitchers, plastic and glass. Plastic pi

ID: 2331819 • Letter: S

Question

Sheridan, Inc., sells two types of water pitchers, plastic and glass. Plastic pitchers cost the company $19 and are sold for $34. Glass pitchers cost $28 and are sold for $49. All other costs are fixed at $3,429,972 per year. Current sales plans call for 48,860 plastic pitchers and 146,580 glass pitchers to be sold in the coming year.

How many pitchers of each type must be sold to break even in the coming year? (Use contribution margin per unit to calculate breakeven units.)

Sheridan, Inc., has just received a sales catalog from a new supplier that is offering plastic pitchers for $17. What would be the new contribution margin per unit if managers switched to the new supplier?

What would be the new breakeven point if managers switched to the new supplier? (Use contribution margin per unit to calculate breakeven units. Round answers to 0 decimal places, e.g. 25,000.)

Explanation / Answer

Answer

---Working---

Working

Plastic Pitchers

Glass Pitchers

Total

A

Current Sales

                                            48,860

                         146,580

                                            195,440

B = A/195440

Sales Mix %

25%

75%

100%

C

Sales price per unit

$                                           34.00

$                           49.00

D

Variable cost per unit

$                                           19.00

$                           28.00

E = C - D

Contribution margin per unit

$                                           15.00

$                           21.00

F = E x B

Weighted Average Contribution per unit

$                                              3.75

$                           15.75

$                                              19.50

---Calculation and Answer----

A

Total Fixed Cost

$                             3,429,972.00

B

Weighted Average Contribution per unit

$                                           19.50

C = A/B

Total Break Even Units

                                          175,896

D = C x 25%

Plastic Pitcher Break Even [25%]

                                            43,974

E = C x 75%

Glass Pitcher Break Even [75%]

                                          131,922

Working

Plastic Pitchers

Glass Pitchers

A

Sales price per unit

$                                           34.00

$                           49.00

B

Variable cost per unit

$                                           17.00

$                           28.00

C = A - B

Contribution margin per unit

$                                           17.00

$                           21.00

---Working---

Working

Plastic Pitchers

Glass Pitchers

Total

A

Current Sales

                                            48,860

                         146,580

                                            195,440

B = A/195440

Sales Mix %

25%

75%

100%

C

Sales price per unit

$                                           34.00

$                           49.00

D

Variable cost per unit

$                                           17.00

$                           28.00

E = C - D

Contribution margin per unit

$                                           17.00

$                           21.00

F = E x B

Weighted Average Contribution per unit

$                                              4.25

$                           15.75

$                                              20.00

---Calculation and Answer----

A

Total Fixed Cost

$                             3,429,972.00

B

Contribution margin per unit

$                                           20.00

C = A/B

Total Break Even Units

                                          171,499

D = C x 25%

Plastic Pitcher Break Even [25%]

                                            42,875

E = C x 75%

Glass Pitcher Break Even [75%]

                                          128,624

Working

Plastic Pitchers

Glass Pitchers

Total

A

Current Sales

                                            48,860

                         146,580

                                            195,440

B = A/195440

Sales Mix %

25%

75%

100%

C

Sales price per unit

$                                           34.00

$                           49.00

D

Variable cost per unit

$                                           19.00

$                           28.00

E = C - D

Contribution margin per unit

$                                           15.00

$                           21.00

F = E x B

Weighted Average Contribution per unit

$                                              3.75

$                           15.75

$                                              19.50

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