A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r units of chemical R, where:
z = 100p0.84,0.16
Chemical P costs $400 a unit and chemical R costs $2,800 a unit. The company wants to produce as many
units of chemical Z as possible with a total budget of $700,000.
A) How many units each chemical (P and R) should be "purchased" to maximize production of chemical Z
subject to the budgetary constraint?
Units of chemical P, P =
Units of chemical R, TE
B) What is the maximum number of units of chemical Z under the given budgetary conditions? (Round your
answer to the nearest whole unit.)
Max production, 2=
units

10

step-by-step explanation:

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places