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11111nata11111 [884]
3 years ago
11

The revenue, in millionsmillions of dollars, for a company in year tt is given by the function: r(t)=15e0.19t,0≤t≤15 r(t)=15e0.1

9t,0≤t≤15 and the cost, in millions billions of dollars, to run the company in year tt is approximated by: c(t)=12e−0.03t,0≤t≤15 c(t)=12e−0.03t,0≤t≤15 where tt is the number of years after january 1st of the year 20002000. what was the net profit (in millionsmillions of dollars) for the company from january 1st in the year 20002000 until january 1st in the year 20072007
Business
1 answer:
Maslowich3 years ago
5 0
The net profit of the company in this case is given by the subtraction of the income minus the costs.
 We have then:
 b (t) = r (t) - c (t)
 b (t) = 15 * e ^ (0.19 * t) - 12 * e ^ (- 0.03 * t).
 We must determine the number of years.
 from january 1st in the year 2000 until january 1st in the year 2007:
 t = 2007-2000 = 7.
 We have then evaluating t = 7 in the function:
 b (7) = 15 * e ^ (0.19 * 7) - 12 * e ^ (- 0.03 * 7).
 b (7) = 46.99 millions of dollars
 answer:
 the net profit was 46.99 millions of dollars
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Behavioral component

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3 years ago
"A high-ranking officer of ABC Corporation owns 10,000 shares of ABC Corporation control stock that she wishes to sell under the
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4 years ago
US Apparel (USA) manufactures plain white and solid-colored T-shirts. Budgeted inputs include the following
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Answer:

A) USA will not be better off switching to the new dye since the cost is greater than the Fine

B)  $118076

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

Explanation:

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

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Fine = $130,000

hence USA will not be better off switching to the new dye since the cost is greater than the Fine

<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>

Original Monthly Costs without the use of Kaizen Costing =( Total Units/Number of Months)*(Fabric Cost per Unit + Labor Cost per Unit)*Number of Months

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

= [ 5000 * 10 ] *12  = $600,000

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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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