Question

please answer 11 quickly

11) A hospital administers dosages of two supplements. We have the following information as shown on the table: Nutrients per Unit Supplement 1 Supplement 2 Minimum Daily Requirement Nutrient Vitamin A 7 2. 35 2 Vitamin B 32 $6 Cost per unit a. Ifx is the number of units of Supplement 1 and y the number of units of Supplement 2 administered, write an inequality of the Vitamin A and Vitamin B given. b. Graph the inequalities in (a). c. Find the coordinates of the corners of the graph drawn in (b). d. Ifx is the number of units of Supplement 1 and y the number of units of Supplement 2 administered, how much did this dosage cost? e. Use the coordinates of the corners found in (c), minimize the expense of the dosage administered under the constraints given using the formula found in (d).

Answer 1

MENNINNE N RIWWW VODUN IAN.BRITISHUHADAPI P objective is to Po minimize :$ 6x + $5y constraints 11+ 24 €35 2n +3432 T Plotting these 2 inequalities In tutay $35 when no 5 _ 9117.5 | 0 I In21+34 = 32 when nlo 116 4110.710

Supplement 2 1 70+20 35 LLL + ub (Q10.7) +22+ 3y=32 (5,03 8 60,02 4 10 12 14 16 18 20 · Supplement i

WWWwwse Finding corner point B : 70+ 2y = 35 - 0 aut 34 = 32- 3/ 7 n+24 = 35 21 an+34 = 32 __210 + 6/4 = 105 40+ y = 64 17 ~ : 41 Putting value of u in egno © La[4]+3y = 32 82 + 3y = 32 1171 82 32 17 3y = 32 – 82 32 - 82 17. 3y = 462 17 y = 154 17

Find minobje minimum value of our constraint I At(0, 10:7) 06f0,32 Puthing this point in Gu+54- => 6.CO2+5(32) = 190 = 53-33 11_AŁ C5, 02 3 Putting this point in Out 54 LES -) 6C5)+500) = 30 I ALCOO) => GCO) + 500) = 0 Attr4f1547 AT 1 759) 771171 t777) We will ignore this point because there must be some supplement consumption. It cannot be cool

DVA (160) Puting this point in but5y 64]+5[154] = 246+ = 1016 2121 PIPO 17 = 59. 76 so the point where costis minmur 3 is C5,0) where cost is$30.