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sergij07 [2.7K]
3 years ago
15

Opal Company manufactures a single product that it sells for $100 per unit and has a contribution margin ratio of 30%. The compa

ny's fixed costs are $49,000. If Opal desires a monthly target operating profit equal to 20% of sales, sales will have to be (rounded): (Round intermediate calculations to 2 decimal places)
Business
1 answer:
yarga [219]3 years ago
7 0

Answer:

$490,000.

Explanation:

To find out sales of Opal Company we will use below equation,

Sales = Variable cost + Fixed cost + Target profit

variable cost margin will be (1 - contribution margin)

= 0.7 (1 - 0.3)

we will consider sales as x,

x = 0.70x + $49,000 + 0.20x

x = 0.90x + $49,000

x - 0.90x = $49,000

x = $49,000 / 0.10

x = $490,000.

Sales = $490,000.

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My answer is: Produce Product C first, then followed by Product A. to maximize contribution margin. Product B will not be produced since the maximum number of pounds has already been used in producing Products C and A.

<span> <span> </span><span><span> PER UNIT
</span> <span> PRODUCT                              A               B                C
</span> <span> SELLING PRICE                   80              62                81
</span> <span> VARIABLE EXPENSES
</span> <span> DIRECT MATERIALS            24             18                  9
</span> <span> OTHER VAR EXP.                 24             25.4             43.65
</span> <span> TOTAL VAR EXP                   48             43.4             52.65
</span> <span> CONTRIBUTION MARGIN    32             18.6             28.35
</span> <span> <span>CM RATIO </span>                            0.4             0.3                0.35
</span> <span> </span> <span>
COMPANY CAN SELL 800 UNITS OF EACH PRODUCT PER MONTH.
</span> <span> SAME RAW MATERIAL IS USED IN EACH PRODUCT.
</span> <span> MATERIAL COSTS 3 PER POUND W/ A MAX OF 5,000 POUNDS EACH MONTH
</span> <span> </span> <span>
PRODUCT      DM     <span>UNIT COST </span>        NO. OF LBS
</span> <span> A                      24            3                             8
</span> <span> B                      18            3                             6
</span> <span> C                        9            3                             3
</span> <span> </span> <span> PRODUCT NO. OF LBS/UNIT     MAX UNITS      TOTAL NO. OF LBS
</span> <span> A                       8                                800                    6400
</span> <span> B                       6                                800                    4800
</span> <span> C                       3                                800                    2400
</span> <span> TOTAL                                                                         13600
</span> <span> LIMITATION: 5,000 POUNDS PER MONTH ONLY.

</span></span></span><span> <span> </span><span><span> <span>required: </span>
</span> <span> <span>1. calculate the contribution margin per pound of the constraining resource for each product. </span>
</span> <span> 2. which orders would you advise the company to accept first, those for a, b, or c? which orders second? third?
</span> <span> </span> <span>
</span></span></span><span>PLS. SEE ATTACHMENTS FOR MY FULL COMPUTATIONS. </span>

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