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vazorg [7]
3 years ago
6

A school band performs a spring concert for a crowd of 600 people. the revenue for the concert is $3150. there are 150 more adul

ts at the concert than students. how many of each type of ticket are sold?
Business
1 answer:
Alla [95]3 years ago
4 0
In this item, we let the number of tickets sold to the adults as x. With this, we can let the number of tickets sold to students with y. 

In this item, we are given that the sum of the number of students and adults is equal to 600. Further, we are also given that the difference is 150. The system of linear equation that would allow us to solve this item is,

               x + y = 600
               x - y = 150

Adding up the two equations will give us,
              2x = 750
Dividing by 2,
              x = 375

Substituting this value to the first equation,
          375 + y = 600
                 y = 225

Therefore, there are 375 and 225 number of tickets sold to adults and students, respectively. 
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A) USA will not be better off switching to the new dye since the cost is greater than the Fine

B)  $118076

C)  The reduction in material/fabric cost can be achieved by the reduction in material wastage and in the use of quality materials

while the reduction in labor cost can be achieved by Hiring well trained employees with the necessary skillset

Explanation:

<u>A) Determine If the USA be better off using the new dye </u>

Units of clothes to be dyed = 50,000

Difference in cost = [ 4 ( 1.25 - 0.5 ) ] = 4 * 0.75 = $3

Total cost of using the new dye = 50000 * $3 = $150,000

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<u>B) Determine by how much overall cost will be reduced at the end of 12 months using Kaizen costing </u>

<em>condition : reduce fabric and labor cost by 1%</em>

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= [( 10000 + 50000 )/12 ) * ( 6 + 4 ) ] *12

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Given: Fabric cost per unit = $6 , Labor cost per unit = $4

          Total units of production = 10000 + 50000 = 60,000

Kaizen costing formula per month = [ (cost per unit * total units / 12 ) - ( 1% of cost per unit * total units / 12) ]

Total annual cost using Kaizen costing = $56807.61

difference in cost = $600,000 - $568076 = $31924

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