Mathematics: Let c(x) represent the cost of producing x items and p(x) be the sale price per item if x items are sold. the profit p(x) of selling x items is p(x)=xp(x)-c(x) (revenue minus costs). the average profit per item when x items are sold is p(x)/(x) and the marginal profit is dp/dx. the marginal profit approximates the profit obtained by selling one more item given that x items have already been sold. consider the following cost functions c and price function p.c(x)=-0.02x^2+40x+80, p(x)=100, a=500a)

Let c(x) represent the cost of producing x items

Fatimaneedhelp

04.01.2022

(a) Profit function P(x) = 0.02x^2+60x-80

(b) Average profit P(x)/x = P/x = 0.02x+60-80/x

Marginal profit dP/dx = 0.04x+60

Step-by-step explanation:

Cost function: C(x) = -0.02x^2+40x+80

Price function: p(x) = 100

(a) The profit function P(x) = x*p(x)-C(x) can be expressed as:

$P=x*p-C\\P=x*100-(-0.02x^{2} +40x+80)\\P=0.02x^{2}+60x-80$

(b)Average profit function: P(x)/x

$P/x=(0.02x^{2}+60x-80)/x\\P/x = 0.02x+60-80/x$

Marginal profit function: dP/dx

$P=0.02x^{2}+60x-80\\dP/dx=0.02*2*x+60+0\\dP/dx=0.04x+60$

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chloesmolinski0909

09.11.2020

Yes, the postulate would be SAS.

Step-by-step explanation:

The given side and angle congruences give you two sides and the angle in between each of those sides.

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