How much do you think the ultra complex human body would be worth if we were able to price it, for example in comparison to the expensive asimo robot?
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"Suppose that I don't have a formula for #g(x)# but I know that #g(1)
= 3# and #g'(x) = sqrt(x^2+15)# for all x. How do I use a linear approximation to estimate #g(0.9)# and #g(1.1)#?"
Warning! Long answer. My estimate is fifty-one million US dollars.
Interestingly, body fluids and tissue are more valuable than body parts.
Here's my calculation, using the most recent prices I could find.
Females are more valuable than males, because they can produce valuable egg cells.
Fluids and Tissue
#"Apolipoprotein" color(white)(m)"4.158 g at $3500/mg" color(white)(mll)"$14 553 000"#
#"Bone marrow" color(white)(mm)"1000 g at $23 000/g" color(white)(mm) "$23 000 000"#
#"Ceruloplasmin" color(white)(mll) "3.066 g at $60/mg" color(white)(mmmm) "$183 960"#
#"DNA" color(white)(mmmmmml) "7.5 g at $1 290 000/g" color(white)(mll) "$9 675 000"#
#"Hemoglobin" color(white)(mmll) "1260 g at $1/g" color(white)(mmmmmmml) "$1 260"#
#"IgG" color(white)(mmmmmmll) "109.2 g at $210/g" color(white)(mmmmml) "$22 932"#
#"Prothrombin" color(white)(mml) "907 mg at $408/mg" color(white)(mmml) "$370 056"#
#"Sphingomyelin" color(white)(ml) "5.166 g at $550/g" color(white)(mmmmmll) "$2 841"#
#"Breast milk" color(white)(mmm) "1460 oz at $4/oz" color(white)(mmmmml) "$11 680"#
#"Prolactin" color(white)(mmmm) "9 mg at $5780/mg" color(white)(mmmmll) "$52 020"#
#"Lipase" color(white)(mmmmml) "504 U at $1.60/U" color(white)(mmmmmmll) "$806"#
#"Transferrin" color(white)(mmm) "22.218 g at $977/g" color(white)(mmmmll) "$21 707"#
#"Egg cells" color(white)(mmmml) "32 eggs at $35 000/egg" color(white)(ml) "$1 120 000"#
#color(white)(mmmmmmmmmmmmmm)"TOTAL ="color(white)(m) "$49 015 000"#
Organs
#"Lungs" color(white)(mmmmmmll) "2 at $290 000" color(white)(mmmm) "$580 000"#
#"Heart" color(white)(mmmmmmm) "$119 000" color(white)(mmmmmm) "$119 000"#
#"Eyeballs" color(white)(mmmmmll) "$1525/pr" color(white)(mmmmmmm) "$1 525"#
#"Scalp" color(white)(mmmmmmm) "$607" color(white)(mmmmmmmmmml) "$607"#
#"Skull with teeth" color(white)(mm) "$1200" color(white)(mmmmmmmmll) "$1 200"#
#"Shoulders" color(white)(mmmmm)"2 at $500" color(white)(mmmmmmm) "$1 000"#
#"Coronary arteries" color(white)(m) "2 at $1525" color(white)(mmmmmmll) "$3 050"#
#"Liver" color(white)(mmmmmmml) "$157 000" color(white)(mmmmmm) "$157 000"#
#"Hand and forearm" color(white)(m) "2 at $385" color(white)(mmmmmmmm) "$770"#
#"Blood" color(white)(mmmmmmm) "5 L at $1077/L" color(white)(mmmml)"$5 385"#
#"Spleen" color(white)(mmmmmmll) "$508" color(white)(mmmmmmmmmml) "$508"#
#"Stomach" color(white)(mmmmmll) "$508" color(white)(mmmmmmmmmml) "$508"#
#"Small intestine" color(white)(mmll) "$2519"color(white)(mmmmmmmmm) "$2 519"#
#"Kidneys" color(white)(mmmmmm) "2 at $262 000" color(white)(mmmml) "$524 000"#
#"Gallbladder" color(white)(mmmm) "$1219" color(white)(mmmmmmmmm) "$1 219"#
#"Skin" color(white)(mmmmmmmll) "1.8 m"^2color(white)(l) "at $1.50/cm"^2 color(white)(ml) "$27 000"#
#"Pancreas" color(white)(mmmmml) "$140 000" color(white)(mmmmmmll) "$140 000"#
#color(white)(mmmmmmmmmmmmmml)"TOTAL = $1 565 000"#
Thus the total value of the human body is $50 581 000.
Although this breakdown is illegal, unethical, and impossible, you should no longer feel like a million dollars.
You can now feel like fifty million dollars instead!
