What Is the Optimal Selling Price for a Paint Mixture with 17.0% Pigment?

AI Thread Summary
To determine the optimal selling price for a paint mixture with 17.0% pigment, the discussion highlights the need for additional information, particularly regarding production costs and profit margins of existing mixtures. The current mixtures with 25.0% and 12.0% pigment sell for $18.00/kg and $10.00/kg, respectively. Participants suggest making assumptions about the profit margins of these mixtures to calculate the price for the new blend. One user outlines a mathematical approach to solve for the selling price by establishing equations based on the pigment concentrations. Ultimately, the discussion emphasizes the importance of accurate cost data to arrive at a viable selling price.
jimithing
Messages
26
Reaction score
0
A paint mixture containing 25.0% pigment and the balance water sells for $18.00/kg, and a mixture containing 12.0% pigment sells for $10.00/kg. If a paint retailer produces a blend containing 17.0% pigment, for how much ($/kg) should it be sold to yield a 10% profit?

Am I wrong, or are they lacking information (i.e. cost of production, etc.)
this is driving me nuts... :confused:
 
Physics news on Phys.org
I would say yes you are missing some information. How much profit is made on the 25% and 12% mixtures comes to mind and as you said production costs... You can make some assumptions like the 25% and 12% mixtures are sold at 10% profit or the like.

Well, good luck.
 
i assumed that the 25% and 12% mixtures were sold at cost, so i used
.25x + .75y = 18
and
.12x + .88y = 10

solved for x and y, then substituted into .17x + .83y = z
found z, multiplied by 1.1

hopefully that's what they're looking for
 
"Interactive math program"?
 
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanged mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...

Similar threads

Replies
1
Views
2K
Back
Top