A chemical manufacturer sells sulfuric acid in bulk at a price of $100 per unit. If the daily production cost in dollars for x units is: C(x)=100,000+50x+0.0025x^2, and if the daily production capacity is at most 7000 units, how many units of sulfuric acid must be manufactured and sold daily to maximize the profit?
Answers
to solve the amount of sulfuric acid to maximize the profitwe need to establish the profit
let S(x) = 100x the selling price
P = S(x) – C(x)
P = 100x – ( 100,000 + 50x + 0.0025x^2)
P = 50x – 100000 – 0.0025x^2
Getting the first derivative and equating it to 0
0 = 50 – 0.005x
X = 10000 units of sulfuric acid
But the capacity is only 7000 units
So 7000 units should be manufactured
Related Questions
In any pure sample of CO2, the ratio of the mass of carbon to the mass ofoxygen is always the same. You can justify this ratio by the fact thatcompounds are composed of which of the following?A. Identical molecules created from atoms combined in wholenumber ratiosB. Atoms whose chemical properties do not change during achemical reactionO C. Atoms whose masses do not change during a chemical reactionD. Different molecules which together produce the observedelemental ratios
For the reaction below, describe the temperature and pressure conditions that would produce the highest yield of the forward reaction. Explain your answer in terms of Le Châtelier's principle.
Where is the smallest negatively-charged particle found in an atom?
How many liters of oxygen gas can be produced if 28.7 grams of water decomposes at 294 Kelvin and 0.986 atmospheres? Show all of the work used to solve this problem. . . 2 H2O (l) --->2 H2 (g) + O2 (g)
Answers
An element cannot be broken down by any chemical means. However, nuclear reactions can lead to the generation of new elements.
Examples of elements include: copper, neon and iron.
Currently, there are 115 known elements in nature.
Final answer:
An element is a substance made up of only one type of atom. It is the simplest form of matter and examples include hydrogen, oxygen, gold, and silver.
Explanation:
A substance that is made up of only one type of atom is an element. Elements are the simplest form of matter that cannot be broken down into simpler substances by ordinary chemical means. Examples of elements include hydrogen, oxygen, gold, and silver, each comprising only one type of atom. On the other hand, compounds, mixtures, and solutions can be comprised of more than one type of atom, molecule, or substance.
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HNO2 -> H+ + NO2-
HA + h20 -> A- + H+ + h20
BOH + h20 -> B+ + OH- + H20
Answers
Answer : The correct option is, (4)
Explanation :
Strong acid : Strong acids are those acids which are completely dissociates into ions in water. It dissociates into hydrogen ion and an anion.
Strong base : Strong base are those base which are completely dissociates into ions in water. It dissociates into hydroxide ion and a cation.
In all the given options, option (4) equation shows the complete dissociation of a strong base.
While the other options shows the complete dissociation of an acid.
Answers
Answer;
Considering the attached image;
The correct answer is D.
Explanation;
-An element is a substance that can not be broken down into simpler substances by ordinary chemical means. Example, iron, gold, hydrogen , carbon, oxygen , etc.
-Elements are made of atoms. An atom is the smallest particle of an element that can take part in a chemical reaction. Atoms of different elements are different. Atoms of one element are basically alike.
In the diagram, there are only one type of element depicted.
Identify both types of bonds in the NH4NO3(s).
Answers
The bonds involved in this substance includes ionic bonding and polar covalent.
Answers
Answer:
Ld₂Mz
General Formulas and Concepts:
Chemistry - Compounds
- Valence shells
- Writing chemical compounds
- Balancing charges
Explanation:
Step 1: Define
"Lindenium" Ld w/ oxidation charge of +1
"Mendezine" Mz w/ oxidation charge of -2
Step 2: Write Compound
To balance out the charges to be neutral (0), we must counter balance the amount of Ld's with Mz's. We need 2 Ld's with 1 Mz to create a compound with a neutral charge:
2Ld¹⁺ + Mz²⁻
2(+1) + (-2) = (+2) + (-2) = 0 (neutral charge)
Therefore, our compound must be Ld₂Mz.
b. tremendous amounts of mass.
c. a series of chemical reactions.
d. particle accelerators.
Answers
E=the energy given off, m=the mass turned to energy (I think this is sometimes referred to as the mass defect), and c=the speed of light. Nuclear reactions do not fallow the law of conservation of mass since some of the mass is converted into energy.
I hope this helps. Let me know if anything is unclear.
Final answer:
In nuclear fission, great amounts of energy are produced from very small amounts of mass, as described by Einstein's mass-energy equivalence principle E=mc². The energy is derived from the conversion of a small amount of nuclear mass.
Explanation:
During the process of nuclear fission, large amounts of energy are actually released from very small amounts of mass. This is in accordance with Einstein's mass-energy equivalence principle expressed in his famous equation E=mc², where E represents energy, m is the mass, and c² is the speed of light squared. This equation depicts that even small amounts of mass can produce tremendous energy when speed of light is raised to power of two which is a very large number. Therefore, the correct answer to your question is Option A: very small amounts of mass.
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