. A computer software salesman earns a base salary of $28,000 per year and a graduated commission. For all yearly sales from $0 to $5000, he receives a commission of 10%; for all yearly sales from $5000 to $10,000, he receives a commission of 15%; for all yearly sales from $10,000 to $50,000, he receives a commission of 25%; and for all yearly sales above $50,000, he receives a commission of 30%. The salesman expects to make $80,000 in sales this year, and wants to calculate his projected yearly earnings. (8 points: Part I - 2 points; Part II - 2 points; Part III - 2 points; Part IV - 1 point; Part V - 1 point) Part I: How much will the salesman earn in commission on the first $5000 of his sales? Part II: How much will the salesman earn in commission on his sales from $5000 to $10,000? Part III: How much will the salesman earn in commission on his sales from $10,000 to $50,000? Part IV: How much will the salesman earn in commission on his sales above $50,000? Part V: What are the salesman's projected yearly earnings?

Step-by-step explanation:

I. He earns 10% on sales up to $5000, so on the first $5000, he earns ...

  0.10 × $5000 = $500

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II. On sales above $5000 and less than $10,000 he earns 15%. On the next $5000, he earns ...

  0.15 × ($10,000 -5,000) = 0.15 × $5000 = $750

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III. On sales above $10,000 and less than $50,000, he earns 25%. On the next $40,000, he earns ...

  0.25 × ($50,000 -10,000) = 0.25 × $40,000 = $10,000

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IV. On sales above $50,000, he earns $30. On the next $30,000, he earns ...

  0.30 × ($80,000 -50,000) = 0.30 × $30,000 = $9,000

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V. On sales of $80,000, the salesman will expect to earn a commission of ...

  $500 +750 +10,000 +9,000 = $20,250

Comment on graduated commission calculation

The calculation can be simplified by using a different equation in each range:

  < 5000 --- 0.10×sales

  5000-10,000 --- 0.15×sales -250

  10,000-50,000 --- 0.25×sales -1250

  50,000+  --- 0.30×sales -3750

with btw u said 100pts but it clearly says

i answerd and just got 10pts

no hate

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol