Wildcat Co. purchased, on open account, 4,000 pounds of direct materials at a total cost of $20,200. The standard cost of these
materials, at $5.00 per pound, was $20,000. The company records any price variance for direct materials at point of purchase. During the current month 1,000 units of output were produced. Each unit of output, at standard, requires 2 pounds of direct materials, at $5.00 per pound. A total of 1,950 pounds of material was consumed in production during the month. The direct labor payroll for the period was $25,000 and has yet to be paid. The standard direct labor hours to produce each unit is 2 and the standard wage rate per hour is $11. The actual wage rate per hour was $10. The standard direct manufacturing cost for each unit is $32. During the month, 1,000 units were produced. During the month, 900 units were sold, at a price of $50 per unit. Record the journal entries for each of the events and transactions.
1 answer:
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Answer:
The ticket price that maximizes revenue is $18.10
Explanation:
Hi, first we need to construct the revenue equation in terms of the additional dollar charge (that would be X). That is:
So we expand it:
This is a parabola, and we need to find its vertex, which in our case that would be the maximum additional dollar charge in order to obtain the highest revenue possible, to find the vertex, we need to consider that:
And to find the X-coordenate we have to use the following equation.
In our case, A= -65; B= 1,247.5, so, all should look like this:
That means, we need to make 9.6 increments of $1 in order to obtain the max revenue possible, therefore, the price would be
Price = $8.50 + $1(9.6)= $8.50 + $9.6 =$18.10
Best of luck.