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Sunny_sXe [5.5K]
3 years ago
14

The profit that the vendor makes per day by selling x pretzels is given by the function. P(x) = -0.002x2 + 1.4x - 400. Find the

number of pretzels that must be sold to maximize profit.
Business
1 answer:
amm18123 years ago
7 0

Answer:

350 the number of pretzels that must be sold to maximize profit.

Explanation:

P(x) = -0.002x2 + 1.4x - 400

Differentiating P(x) with respect to dx:

P(x)'=\frac{d(-0.002x2 + 1.4x - 400)}{dx}

P(x)'=-2\times 0.002x+1.4

Putting , P(x)' =0

0=-0.004x+1.4

x=\frac{1.4}{0.004}=350

we get , x = 350

Differentiating P(x)' with respect to dx:

P(x)''=-0.004

P(x)''<0 (maxima)

350 the number of pretzels that must be sold to maximize profit.

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Answer:

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7 0
3 years ago
In an inventory control system, the annual demand is 12,000 units, the ordering cost is GHS 30 per order and the inventory holdi
Fittoniya [83]

Answer:

Total cost per year = $1,801,860

Explanation:

Given:

Annual demand = 12,000 units

Ordering cost = $30 per order

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Total cost per year

Computation:

Total cost per year = Purchase cost + Order cost + Inventory holding cost

Total cost per year = [12,000 x 150] + [12,000/1000 x 30] + [1,000/2 x 3]

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5 0
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DJFats Company determined that the 2019 ending inventory had been overstated by $11,200 AND that the 2019 beginning inventory wa
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Answer:

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As we know that

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And,  

Gross profit = Sales revenue - cost of goods sold

Since in the question it is given that

The ending inventory and beginning inventory had been overstated by $11,200 and $6,600 respectively

Since overstatement in the initial inventory raises the cost of the goods sold and decreases by that amount the gross profit & net income

And, overstatement in ending inventory reduced cost of goods sold and raised gross profit & net income by that amount.

So for overstated ending inventory the amount should be deducted and for overstated beginning inventory the condition would be reverse

So, the correct amount is

= incorrect pretax net income + overstatement in beginning inventory - overstatement in ending inventory

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6 0
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