A stained glass artist has a fixed cost of $150. It costs the artist $15 to proc

beljuA

beljuA

Answered question

2021-09-14

A stained glass artist has a fixed cost of $150. It costs the artist $15 to procedure each piece, but each piece sells for $35. The equation C=150+15n represents the total cost, C, for producing n pieces. The total revenue for n pieces is determined by the equation R=35n. What constaint is necessary to include when modeling this situation?
- n must be greater than or equal to 0, since the number of items created cannot be negative.
- R must be greater than or equal to 35, since the number of items will always be positive.
- R-C must be less than or equal to 0, since the artist wants to make money.
- C must be 150, since there is a fixed cost to produce each piece.

Answer & Explanation

Gennenzip

Gennenzip

Skilled2021-09-15Added 96 answers

Step 1
Given,
Total cost =C=150+15n
total revenue =R=35n
to make profit we have to increse production
RC>0
35n15n150>0
15n>150
n>10
if n>10 or atleast 10 piece have to produce to cross fixed amount.
Step 2
RC must be greater than zero and always positive to make money.
n should be always positive.

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