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majarm majarm
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6 years ago
Sala pipe fittings produce pipe elbows and reducers from stainless steel. The company can process up to 20 000 tonnes of stainless steel sheets in a year. The company pays the steel company $800 per tonne of stainless steel sheets and each tonne is used to manufacture $2000 worth of elbows and reducers. Variable processing costs are $470 per tonne and fixed processing costs $3.4 million per year at all production levels. Administrative overhead is $3 million per year regardless of the volume of the production. Marketing and transportation costs work out to be $230 per tonne. In order to attain a net income of $2.4 million how many tonnes of steel must be processed this year?
Textbook 
Contemporary Business Mathematics with Canadian Applications

Contemporary Business Mathematics with Canadian Applications


Edition: 11th
Authors:
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wrote...
6 years ago
Total fixed cost = $3 000 000 + $3 400 000 = $6 400 000
Total variable cost = $800 + $470 + $230 = $1500 per tonne
Net profit    = Total revenue - Total Variable Cost - Fixed cost
   = Price × Volume - Variable cost per unit × volume - Fixed cost
⇒$2 400 000 = $2000 × N - $,500 × N - $6 400 000
⇒ N = 17 600
17 600 tonnes of steel must be processed this year to attain a net income of $2.4 million.
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