quinshayewilli3329
14.02.2020 •
Mathematics
Suppose you are in the business of manufacturing white board markers. You make two types: Standard and Heavy Duty. You sell these to wholesalers for $10/box of 10 for Standard Markers and $15/box of 10 for Heavy Duty markers. Each standard marker is made up of 3 oz. of plastic and 1 fl. Oz. of marker fluid. Each Standard Marker is made up of 5 oz. of plastic and 1.5 fl. oz of marker fluid. Plastic costs $1/lb and marker fluid costs $5/gal. Each marker takes 30 seconds to manufacture by machine, but the machine can manufacture up to 10 at one time. Machine time costs $60/hr.
Set up the profit function for each type of marker, using dimensional analysis as you would have to do for a linear program objective function where you wanted to maximize profit.
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Ответ:
Multiple answers
Step-by-step explanation:
Let change the name of the variables.
Set Standard as X and Heavy Duty as Y
The X markers costs 10/box with 10 markers = $1 per maker.
The Y markers costs 15/box with 10 markers = $1.5 per marker.
The X marker is made of 3 oz. of plastic and 1fl. oz of marker fluid.
The Y marker is made of 5 oz. of plastic and 1.5fl. oz. of marker fluid.
Plastic cost $1/lb and marker fluid costs $5/gal.
1 oz = .0625lb
1 fl. oz. = 0.0078125gal
∴
$X = 3(.0625lb) * $1 (the cost of the plastic in the marker)+ 1(0.0078125gal) * $5 (the cost of the marker fluid in the marker) = .1875 + .0390625 = .2265625 ( the total cost of the X marker).$Y = 5(.0625lb) * $1 (the cost of the plastic in the marker)+ 1.5(0.0078125gal) * $5 (the cost of the marker fluid in the marker) = .3125 + .05859375 = .37109375 ( the total cost of the Y marker).Once we have the cost per marker:
The machine time cost is of $60/hr but each marker takes 30 seconds to be manufactured.
So we divide 1 hr / 30s and multiply it by the 10 markers the machine can produce at one time.
(3,600 s / 30s) * 10 = 1200 (the total of markers the machine can produce per hour)One hour of machine time costs $60. We divide the cost of machine time by the total markers can be produced in one hour.
$60/1200=$.05(this is the cost of manufactured per marker).Ответ:
cant be solved, when you try to you get
-1+78 = 77
which is
77 = 77
1=1
So cannot be factored
Step-by-step explanation: