110 marku Selve the pos with the simplesmented Problems in all An ini. Sandy has a fim order to produce 1000 pusof casting containing was 25 percent mapanese and between 1.5 percentand 5.50 percent silicon. As these particular castings are calore, there we be suitable castings en hand The casting for 50 45 per pound The Worly three types of available in essentially unlimited with the following properties Type of per A C Manganese 0499100 Further, the production proces in wachh pure manganese can be added directly to the melt. The costs of the varices posiblengua PA $21thand pounds Me $25 de Pic Standpunde Manganese Spound Il costs 5 cents to me down and of pignon A possible formularios of this problem is green follow Decisice variables defpyn Pred of pro - Puder of pure mange max 043 042, +0:41-7556 A+++-1000 0.0001 +0.002325 Minimicon concentration) 0.018 +0.006, 555 Misconcert 0.00454.0005 0.0011245(Minimese concent The problem has been tored with was, which culputted the following resulte GECTIVE PENTION VA 1) 4 WARTABLE VELLE 11 179.0294 00 220 ANS 11011 DOCED NOW KOLOS TRIC MOTTENTION wil What is the optimal value of the mem! What is the optimal tined by the se! for Interpret the deed dated with the variables Wlulare the binding continuity your we fors What would be the effect on the hective vale optimal petition additional pound of castings were onderd Peas, plain your